Oystaeyen, F. Van 1947
Overview
Works:  251 works in 683 publications in 5 languages and 11,454 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Thesis advisor 
Classifications:  QA3, 512.4 
Publication Timeline
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Most widely held works by
F. Van Oystaeyen
Relative invariants of rings : the commutative theory by
F. Van Oystaeyen(
Book
)
25 editions published between 1983 and 1984 in English and held by 556 WorldCat member libraries worldwide
25 editions published between 1983 and 1984 in English and held by 556 WorldCat member libraries worldwide
Prime spectra in noncommutative algebra by
F. Van Oystaeyen(
Book
)
19 editions published between 1974 and 2008 in English and Undetermined and held by 418 WorldCat member libraries worldwide
19 editions published between 1974 and 2008 in English and Undetermined and held by 418 WorldCat member libraries worldwide
Noncommutative algebraic geometry : an introduction by
F. Van Oystaeyen(
Book
)
17 editions published in 1981 in English and German and held by 416 WorldCat member libraries worldwide
17 editions published in 1981 in English and German and held by 416 WorldCat member libraries worldwide
Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 1728, 1981 by
F. Van Oystaeyen(
Book
)
21 editions published in 1982 in English and held by 410 WorldCat member libraries worldwide
21 editions published in 1982 in English and held by 410 WorldCat member libraries worldwide
Graded and filtered rings and modules by
C Năstăsescu(
Book
)
18 editions published between 1979 and 2008 in English and German and held by 407 WorldCat member libraries worldwide
18 editions published between 1979 and 2008 in English and German and held by 407 WorldCat member libraries worldwide
Ring theory, Antwerp, 1980 : proceedings, University of Antwerp, U.I.A., Belgium, May 69, 1980 by
F. Van Oystaeyen(
Book
)
29 editions published between 1980 and 2008 in 4 languages and held by 395 WorldCat member libraries worldwide
29 editions published between 1980 and 2008 in 4 languages and held by 395 WorldCat member libraries worldwide
Ring theory : proceedings of an international conference held in Antwerp, April 15, 1985 by
F. Van Oystaeyen(
Book
)
20 editions published between 1986 and 2008 in 4 languages and held by 361 WorldCat member libraries worldwide
20 editions published between 1986 and 2008 in 4 languages and held by 361 WorldCat member libraries worldwide
Abstract algebra : a comprehensive treatment by
Claudia Menini(
Book
)
13 editions published in 2004 in English and held by 326 WorldCat member libraries worldwide
"A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a selfcontained presentation, detailed definitions, and excellent chaptermatched exercises to automatically smooth the trajectory of learning algebra from zero to one."Jacket
13 editions published in 2004 in English and held by 326 WorldCat member libraries worldwide
"A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a selfcontained presentation, detailed definitions, and excellent chaptermatched exercises to automatically smooth the trajectory of learning algebra from zero to one."Jacket
Methods of graded rings by
C Năstăsescu(
Book
)
16 editions published in 2004 in English and held by 303 WorldCat member libraries worldwide
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a selfcontained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars
16 editions published in 2004 in English and held by 303 WorldCat member libraries worldwide
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a selfcontained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars
Graded ring theory by
C Năstăsescu(
Book
)
15 editions published between 1982 and 2011 in 3 languages and held by 267 WorldCat member libraries worldwide
15 editions published between 1982 and 2011 in 3 languages and held by 267 WorldCat member libraries worldwide
Brauer groups and the cohomology of graded rings by
Stefaan Caenepeel(
Book
)
11 editions published between 1986 and 1989 in English and held by 266 WorldCat member libraries worldwide
11 editions published between 1986 and 1989 in English and held by 266 WorldCat member libraries worldwide
Methods in ring theory by
F. Van Oystaeyen(
Book
)
18 editions published between 1983 and 1984 in English and held by 253 WorldCat member libraries worldwide
18 editions published between 1983 and 1984 in English and held by 253 WorldCat member libraries worldwide
Reflectors and localization : application to sheaf theory by
F. Van Oystaeyen(
Book
)
9 editions published in 1979 in English and held by 250 WorldCat member libraries worldwide
9 editions published in 1979 in English and held by 250 WorldCat member libraries worldwide
Ring theory : proceeding of the 1977 Antwerp conference(
Book
)
15 editions published between 1977 and 1979 in English and Undetermined and held by 249 WorldCat member libraries worldwide
15 editions published between 1977 and 1979 in English and Undetermined and held by 249 WorldCat member libraries worldwide
Dimensions of ring theory by
C Năstăsescu(
Book
)
12 editions published in 1987 in English and held by 235 WorldCat member libraries worldwide
12 editions published in 1987 in English and held by 235 WorldCat member libraries worldwide
Algebraic geometry for associative algebras by
F. Van Oystaeyen(
Book
)
10 editions published in 2000 in English and held by 177 WorldCat member libraries worldwide
10 editions published in 2000 in English and held by 177 WorldCat member libraries worldwide
Commutative algebra and algebraic geometry : proceedings of the Ferrara meeting in honor of Mario Fiorentini(
Book
)
11 editions published in 1999 in English and held by 167 WorldCat member libraries worldwide
11 editions published in 1999 in English and held by 167 WorldCat member libraries worldwide
Prime divisors and noncommutative valuation theory by
Hidetoshi Marubayashi(
Book
)
15 editions published in 2012 in English and held by 151 WorldCat member libraries worldwide
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.℗¡ But the noncommutative equivalent is mainly applied to finite dimensional skewfields.℗¡ Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.℗¡ This arithmetical nature is also present in the theory of maximal orders in central simple algebras.℗¡ Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras.℗¡ Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions
15 editions published in 2012 in English and held by 151 WorldCat member libraries worldwide
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.℗¡ But the noncommutative equivalent is mainly applied to finite dimensional skewfields.℗¡ Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.℗¡ This arithmetical nature is also present in the theory of maximal orders in central simple algebras.℗¡ Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras.℗¡ Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions
Interactions between ring theory and representations of algebras : proceedings of the conference held in Murcia, Spain(
Book
)
10 editions published in 2000 in English and held by 143 WorldCat member libraries worldwide
10 editions published in 2000 in English and held by 143 WorldCat member libraries worldwide
Hopf algebras and quantum groups(
)
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
0 

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Related Identities
 Verschoren, A. 1954 Author Editor
 Năstăsescu, C. (Constantin) 1943 Author
 Caenepeel, Stefaan 1956 Author Editor
 Fiorentini, Mario Honoree Dedicatee
 Saorin, Manuel 1959 Editor
 Le Bruyn, Lieven 1958 Author Editor
 Marubayashi, Hidetoshi 1941 Author
 Menini, Claudia Author
 Li, Huishi Author
 Universitaire Instelling Antwerpen
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic topology Associative algebras Associative rings Azumaya algebras Brauer groups Commutative algebra Commutative rings Curves, Algebraic Dimension theory (Algebra) Filtered modules Filtered rings Functor theory Geometry Geometry, Algebraic Graded modules Graded rings Grothendieck groups Group theory Homology theory Ideals (Algebra) Invariants Localization theory Mathematical physics Mathematics Modules (Algebra) Noncommutative algebras Noncommutative rings Representations of algebras Rings (Algebra) Schemes (Algebraic geometry) Sheaf theory Spectral theory (Mathematics) Torsion theory (Algebra) Valuation theory
Alternative Names
Fred Van Oystaeyen belgisk matematikar
Fred Van Oystaeyen belgisk matematiker
Fred Van Oystaeyen mathematician
Freddy Van Oystaeyen belgischer Mathematiker
Freddy Van Oystaeyen belgisk matematiker
Oystaeyen, F. M. J. van.
Oystaeyen, F. M. J. van 1947
Oystaeyen, F. van.
Oystaeyen, F. van 1947
Oystaeyen, Fred van 1947
Oystaeyen, Freddy M. J. van.
Oystaeyen, Freddy M. J. van 1947
Oystaeyen, Freddy M. J. van (Freddy Marguerite Joseph van), 1947
Oystaeyen, Freddy Marguerite Joseph van
Oystaeyen, Freddy Marguerite Joseph van 1947
Oystaeyen, Freddy van.
Oystaeyen Freddy van 1947....
Van Oystaeyen, F. 1947
Van Oystaeyen, F. (Freddy), 1947
Van Oystaeyen, F. M. J. 1947
Van Oystaeyen, Fred.
Van Oystaeyen, Fred 1947
Van Oystaeyen, Freddy
Van Oystaeyen, Freddy M. J. 1947
Van Oystaeyen, Freddy Marguerite Joseph 1947
VanOystaeyen, F. 1947
VanOystaeyen, Freddy 1947
VanOystaeyen, Freddy M. J. 1947
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