skip to content
Fundamentals of abstract algebra Preview this item
ClosePreview this item
Checking...

Fundamentals of abstract algebra

Author: D S Malik; John N Mordeson; M K Sen
Publisher: New York : McGraw-Hill, ©1997.
Series: International series in pure and applied mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This new addition to the International Series in Pure and Applied Mathematics is for the two-term advanced undergraduate course in abstract algebra. Each chapter consists of definitions, theorems, proofs, and corollaries. There are also numerous examples that help illustrate the concepts. A unique feature of this text is the worked-out exercises that appear after every section. These worked-out exercises provide  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: D S Malik; John N Mordeson; M K Sen
ISBN: 0070400350 9780070400351
OCLC Number: 35172653
Description: xix, 636 pages : illustrations ; 25 cm.
Contents: 1. Sets, Relations, and Integers --
2. Introduction to Groups --
3. Permutation Groups --
4. Subgroups and Normal Subgroups --
5. Homomorphisms and Isomorphisms of Groups --
6. Direct Product of Groups --
7. Sylow Theorems --
8. Solvable and Nilpotent Groups --
9. Finitely Generated Abelian Groups --
10. Introduction to Rings --
11. Subrings, Ideals, and Homomorphisms --
12. Ring Embeddings --
13. Direct Sum of Rings --
14. Polynomial Rings --
15. Euclidean Domains --
16. Unique Factorization Domains --
17. Maximal, Prime, and Primary Ideals --
18. Noetherian and Artinian Rings --
19. Modules and Vector Spaces --
20. Rings of Matrices --
21. Field Extensions --
22. Multiplicity of Roots --
23. Finite Fields --
24. Galois Theory and Applications --
25. Geometric Constructions --
26. Coding Theory --
27. Grobner Bases.
Series Title: International series in pure and applied mathematics.
Responsibility: D.S. Malik, John M. Mordeson, M.K. Sen.

Abstract:

Suitable for advanced undergraduate courses in abstract algebra, each chapter in this text consists of definitions, therorem, proofs and collaries. Comments are included throughout the text dealing  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(3)

User lists with this item (2)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


\n\n

Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/35172653<\/a>> # Fundamentals of abstract algebra<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"35172653<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Topic\/algebra<\/a>> ; # Algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/804919<\/a>> ; # Algebra, Abstract<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Topic\/universelle_algebra<\/a>> ; # Universelle Algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/512.02\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/35322978<\/a>> ; # John N. Mordeson<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/21407433<\/a>> ; # M. K. Sen<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1997<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/27948391<\/a>> ; # D. S. Malik<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1997<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"This new addition to the International Series in Pure and Applied Mathematics is for the two-term advanced undergraduate course in abstract algebra. Each chapter consists of definitions, theorems, proofs, and corollaries. There are also numerous examples that help illustrate the concepts. A unique feature of this text is the worked-out exercises that appear after every section. These worked-out exercises provide techniques of problem solving for students. Sprinkled throughout the text are comments dealing with the historical development of abstract algebra as well as profiles of notable mathematicians. Special topics, such as algebraic varieties, matrix rings, and Noetherian and Artinian rings, are also included for those instructors who want additional material.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"1. Sets, Relations, and Integers -- 2. Introduction to Groups -- 3. Permutation Groups -- 4. Subgroups and Normal Subgroups -- 5. Homomorphisms and Isomorphisms of Groups -- 6. Direct Product of Groups -- 7. Sylow Theorems -- 8. Solvable and Nilpotent Groups -- 9. Finitely Generated Abelian Groups -- 10. Introduction to Rings -- 11. Subrings, Ideals, and Homomorphisms -- 12. Ring Embeddings -- 13. Direct Sum of Rings -- 14. Polynomial Rings -- 15. Euclidean Domains -- 16. Unique Factorization Domains -- 17. Maximal, Prime, and Primary Ideals -- 18. Noetherian and Artinian Rings -- 19. Modules and Vector Spaces -- 20. Rings of Matrices -- 21. Field Extensions -- 22. Multiplicity of Roots -- 23. Finite Fields -- 24. Galois Theory and Applications -- 25. Geometric Constructions -- 26. Coding Theory -- 27. Grobner Bases.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/40092175<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Series\/international_series_in_pure_and_applied_mathematics<\/a>> ; # International series in pure and applied mathematics.<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fundamentals of abstract algebra<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"35172653<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/35172653#PublicationEvent\/new_york_mcgraw_hill_1997<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Agent\/mcgraw_hill<\/a>> ; # McGraw-Hill<\/span>\n\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780070400351<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/bnb.data.bl.uk\/id\/resource\/GB9749584<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/35172653<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> # New York<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"New York<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/512.02\/e20\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Agent\/mcgraw_hill<\/a>> # McGraw-Hill<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"McGraw-Hill<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Series\/international_series_in_pure_and_applied_mathematics<\/a>> # International series in pure and applied mathematics.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/35172653<\/a>> ; # Fundamentals of abstract algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"International series in pure and applied mathematics.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"International series in pure and applied mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Topic\/algebra<\/a>> # Algebra<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algebra<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/40092175#Topic\/universelle_algebra<\/a>> # Universelle Algebra<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Universelle Algebra<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"nyu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/804919<\/a>> # Algebra, Abstract<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algebra, Abstract<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/21407433<\/a>> # M. K. Sen<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Sen<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"M. K.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"M. K. Sen<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/27948391<\/a>> # D. S. Malik<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Malik<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"D. S.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"D. S. Malik<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/35322978<\/a>> # John N. Mordeson<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Mordeson<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"John N.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"John N. Mordeson<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780070400351<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0070400350<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780070400351<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/35172653<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/35172653<\/a>> ; # Fundamentals of abstract algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-09-08<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n