Verschoren, A. 1954
Overview
Works:  103 works in 326 publications in 4 languages and 5,136 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction, Other 
Classifications:  QA3, 512.4 
Publication Timeline
.
Most widely held works by
A Verschoren
Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 1728, 1981 by
F. Van Oystaeyen(
Book
)
18 editions published between 1982 and 2008 in 3 languages and held by 405 WorldCat member libraries worldwide
18 editions published between 1982 and 2008 in 3 languages and held by 405 WorldCat member libraries worldwide
Noncommutative algebraic geometry : an introduction by
F. Van Oystaeyen(
Book
)
19 editions published in 1981 in 3 languages and held by 404 WorldCat member libraries worldwide
19 editions published in 1981 in 3 languages and held by 404 WorldCat member libraries worldwide
Relative invariants of rings : the commutative theory by
F. Van Oystaeyen(
Book
)
13 editions published in 1983 in English and held by 287 WorldCat member libraries worldwide
13 editions published in 1983 in English and held by 287 WorldCat member libraries worldwide
Relative invariants of rings : the noncommutative theory by
F. Van Oystaeyen(
Book
)
10 editions published in 1984 in English and held by 270 WorldCat member libraries worldwide
10 editions published in 1984 in English and held by 270 WorldCat member libraries worldwide
Relative invariants of sheaves by
A Verschoren(
Book
)
12 editions published in 1987 in English and held by 261 WorldCat member libraries worldwide
12 editions published in 1987 in English and held by 261 WorldCat member libraries worldwide
Reflectors and localization : application to sheaf theory by
F. Van Oystaeyen(
Book
)
7 editions published in 1979 in English and held by 252 WorldCat member libraries worldwide
7 editions published in 1979 in English and held by 252 WorldCat member libraries worldwide
Local cohomology and localization by
J. L Bueso(
Book
)
13 editions published between 1989 and 1990 in English and held by 198 WorldCat member libraries worldwide
13 editions published between 1989 and 1990 in English and held by 198 WorldCat member libraries worldwide
Compatibility, stability, and sheaves by
J. L Bueso(
Book
)
12 editions published in 1995 in English and held by 193 WorldCat member libraries worldwide
12 editions published in 1995 in English and held by 193 WorldCat member libraries worldwide
Rings, Hopf algebras, and Brauer groups : proceedings of the Fourth Week on Algebra and Algebraic Geometry by Week on Algebra and Algebraic Geometry(
Book
)
13 editions published in 1998 in English and Miscellaneous languages and held by 175 WorldCat member libraries worldwide
13 editions published in 1998 in English and Miscellaneous languages and held by 175 WorldCat member libraries worldwide
Localization and sheaves : a relative point of view by
P Jara(
Book
)
9 editions published between 1995 and 1996 in English and held by 146 WorldCat member libraries worldwide
9 editions published between 1995 and 1996 in English and held by 146 WorldCat member libraries worldwide
Ring theory and algebraic geometry : proceedings of the fifth international conference (SAGA V) in León, Spain by International Conference on Algebra and Algebraic Geometry(
Book
)
15 editions published in 2001 in English and held by 142 WorldCat member libraries worldwide
"Focuses on the interaction between algebra and algebraic geometry, including highlevel research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics."
15 editions published in 2001 in English and held by 142 WorldCat member libraries worldwide
"Focuses on the interaction between algebra and algebraic geometry, including highlevel research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics."
Algorithmic methods in noncommutative algebra : applications to quantum groups by
J. L Bueso(
Book
)
12 editions published between 2003 and 2011 in English and held by 121 WorldCat member libraries worldwide
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the socalled class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a selfcontained way, concentrating on an indepth study of the notion of a vast class of noncommutative rings (encompassing most quantum groups), the socalled PoincaréBirkhoffWitt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the GelfandKirillov dimension, the HilbertSamuel polynomial, primality tests for prime ideals, etc
12 editions published between 2003 and 2011 in English and held by 121 WorldCat member libraries worldwide
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the socalled class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a selfcontained way, concentrating on an indepth study of the notion of a vast class of noncommutative rings (encompassing most quantum groups), the socalled PoincaréBirkhoffWitt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the GelfandKirillov dimension, the HilbertSamuel polynomial, primality tests for prime ideals, etc
Foundations of generic optimization(
Book
)
3 editions published between 2005 and 2008 in English and held by 97 WorldCat member libraries worldwide
3 editions published between 2005 and 2008 in English and held by 97 WorldCat member libraries worldwide
Classical and involutive invariants of Krull domains by
M. V Reyes Sánchez(
Book
)
9 editions published in 1999 in English and held by 94 WorldCat member libraries worldwide
"This monograph is devoted to Krull domains and its invariants. The book shows how a serious study of invariants of Krull domains necessitates input from various fields of mathematics, including rings and module theory, commutative algebra, Ktheory, cohomology theory, localization theory and algebraic geometry. About half of the book is dedicated to socalled involutive invariants, such as the involutive Brauer group, and is essentially the first to cover these topics. In a structured and methodical way, the work presents a large quantity of results previously scattered throughout the literature."Jacket
9 editions published in 1999 in English and held by 94 WorldCat member libraries worldwide
"This monograph is devoted to Krull domains and its invariants. The book shows how a serious study of invariants of Krull domains necessitates input from various fields of mathematics, including rings and module theory, commutative algebra, Ktheory, cohomology theory, localization theory and algebraic geometry. About half of the book is dedicated to socalled involutive invariants, such as the involutive Brauer group, and is essentially the first to cover these topics. In a structured and methodical way, the work presents a large quantity of results previously scattered throughout the literature."Jacket
Compatibility and stability by
A Verschoren(
Book
)
6 editions published in 1990 in English and Spanish and held by 19 WorldCat member libraries worldwide
6 editions published in 1990 in English and Spanish and held by 19 WorldCat member libraries worldwide
Foundations of Generic Optimization by
R Lowen(
)
19 editions published between 2005 and 2008 in English and held by 15 WorldCat member libraries worldwide
This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a solid background but also a snapshot of the current state of the art in this field
19 editions published between 2005 and 2008 in English and held by 15 WorldCat member libraries worldwide
This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a solid background but also a snapshot of the current state of the art in this field
Hecke actions and relative invariants by
A Verschoren(
Book
)
8 editions published between 1985 and 1986 in English and Spanish and held by 8 WorldCat member libraries worldwide
8 editions published between 1985 and 1986 in English and Spanish and held by 8 WorldCat member libraries worldwide
Foundations of generic optimization by
M. T Iglesias(
Book
)
7 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
This book deals with combinatorial aspects of epistasis, a notion that existed for years in genetics and appeared in the?eld of evolutionary algorithms in the early 1990s. Even thoughthe?rst chapterputsepistasisintheperspective ofevolutionary algorithms and arti?cial intelligence, and applications occasionally pop up in other chapters, thisbookisessentiallyaboutmathematics, aboutcombinatorialtechniques to compute in an e?cient and mathematically elegant way what will be de?ned as normalized epistasis. Some of the material in this book?nds its origin in the PhD theses of Hugo Van Hove [97] and Dominique Suys [95]. The sixth chapter also contains material that appeared in the dissertation of Luk Schoofs [84]. Together with that of M. Teresa Iglesias [36], these dissertations form the backbone of a decade of mathematical ventures in the world of epistasis. The authors wish to acknowledge support from the Flemish Fund of Scienti?c  search (FWOVlaanderen) and of the Xunta de Galicia. They also wish to explicitly mentiontheintellectualandmoralsupporttheyreceivedthroughoutthepreparation of this work from their family and their colleagues Emilio Villanueva, Jose Mar'a Barja and Arnold Beckelheimer, as well as our local T T Xpert Jan Adriaenssens
7 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
This book deals with combinatorial aspects of epistasis, a notion that existed for years in genetics and appeared in the?eld of evolutionary algorithms in the early 1990s. Even thoughthe?rst chapterputsepistasisintheperspective ofevolutionary algorithms and arti?cial intelligence, and applications occasionally pop up in other chapters, thisbookisessentiallyaboutmathematics, aboutcombinatorialtechniques to compute in an e?cient and mathematically elegant way what will be de?ned as normalized epistasis. Some of the material in this book?nds its origin in the PhD theses of Hugo Van Hove [97] and Dominique Suys [95]. The sixth chapter also contains material that appeared in the dissertation of Luk Schoofs [84]. Together with that of M. Teresa Iglesias [36], these dissertations form the backbone of a decade of mathematical ventures in the world of epistasis. The authors wish to acknowledge support from the Flemish Fund of Scienti?c  search (FWOVlaanderen) and of the Xunta de Galicia. They also wish to explicitly mentiontheintellectualandmoralsupporttheyreceivedthroughoutthepreparation of this work from their family and their colleagues Emilio Villanueva, Jose Mar'a Barja and Arnold Beckelheimer, as well as our local T T Xpert Jan Adriaenssens
A combinatorial approach to epistasis(
)
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2005 in English and held by 0 WorldCat member libraries worldwide
Cohomology rings of finite groups : with an appendix, calculations of cohomology rings of groups of order dividing 64 by
J. F Carlson(
)
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
This text offers comprehensive coverage of group cohomology, from introductory material through the most recent developments in the field. The primary motivation for this book is the interaction of group cohomology with representation theory, especially the geometry of support varieties over cohomology rings. The appendices, comprising computer calculations of the mod2 cohomology rings of the groups whose orders divide 64, provide information useful for further developments in the field. A unique feature of this text is that it includes the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the computations. The programs for computing the cohomology rings were executed in the MAGMA computer algebra language. The text is a valuable resource for researchers in group cohomology and related disciplines. In addition, the book could be used as the text for an advanced graduate class or a graduate seminar
1 edition published in 2010 in English and held by 0 WorldCat member libraries worldwide
This text offers comprehensive coverage of group cohomology, from introductory material through the most recent developments in the field. The primary motivation for this book is the interaction of group cohomology with representation theory, especially the geometry of support varieties over cohomology rings. The appendices, comprising computer calculations of the mod2 cohomology rings of the groups whose orders divide 64, provide information useful for further developments in the field. A unique feature of this text is that it includes the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the computations. The programs for computing the cohomology rings were executed in the MAGMA computer algebra language. The text is a valuable resource for researchers in group cohomology and related disciplines. In addition, the book could be used as the text for an advanced graduate class or a graduate seminar
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Related Identities
 Oystaeyen, F. Van 1947 Author Editor
 Bueso, J. L. (José Luis) 1949 Author Editor
 Caenepeel, Stefaan 1956 Other Editor
 Lowen, R. (Robert) Author Editor
 Jara, P. (Pascual) 1956 Author
 Iglesias, M. T. (M. Teresa) Author
 Granja, Ángel 1959 Other Editor
 Hermida, José Ángel Other Editor
 Torrecillas, B. (Blas) 1958
 GómezTorrecillas, José
Associated Subjects
Abelian categories Algebra Algebraic topology Algorithms Associative algebras Associative rings Biomathematics Brauer groups Combinatorial analysis Commutative rings Computational complexity Computer science Curves, Algebraic Electronic data processing Epistasis (Genetics) Finite groups Functor theory Fuzzy mathematics Genetic algorithms GeneticsMathematics Geometry Geometry, Algebraic Group theory Hecke algebras Homology theory Hopf algebras Invariants Krull rings Localization theory Mathematical optimization Mathematics Noncommutative algebras Noncommutative rings Quantum groups Rings Rings (Algebra) Schemes (Algebraic geometry) Sheaf theory
Alternative Names
Verschoren, A.
Verschoren, A. 1954
Verschoren, Alain
Verschoren, Alain 1954
Verschoren, Alain H. 1954
Verschoren, Alain H. M. J.
Verschoren, Alain H. M. J. 1954
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