Algebras, rings and modules: Vol. 1

Book Cover
Kluwer Academic Publishers,
Pub. Date:
Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative"numbersystem". During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative algebras, began to bring some order into them and to single out certain types of algebras for special attention. Thus, low-dimensional algebras, division algebras, and commutative algebras, were classi?ed and characterized. The ?rst complete results in the structure theory of associative algebras over the real and complex ?elds were obtained by T.Molien, E.Cartan and G.Frobenius. Modern ring theory began when J.H.Wedderburn proved his celebrated cl- si?cation theorem for ?nite dimensional semisimple algebras over arbitrary ?elds. Twenty years later, E.Artin proved a structure theorem for rings satisfying both the ascending and descending chain condition which generalized Wedderburn structure theorem. The Wedderburn-Artin theorem has since become a corn- stone of noncommutative ring theory. The purpose of this book is to introduce the subject of the structure theory of associative rings. This book is addressed to a reader who wishes to learn this topic from the beginning to research level. We have tried to write a self-contained book which is intended to be a modern textbook on the structure theory of associative rings and related structures and will be accessible for independent study.
More Copies In Prospector
Loading Prospector Copies...
More Like This
Staff View

Grouping Information

Grouped Work ID fa62569d-1e93-8869-33fd-2f4e4b3cd2c6
Grouping Title algebras rings and modules vol 1
Grouping Author hazewinkel michiel
Grouping Category book
Last Grouping Update 2018-10-10 01:06:21AM
Last Indexed 2018-10-17 06:01:51AM

Solr Details

accelerated_reader_point_value 0
accelerated_reader_reading_level 0
auth_author2 Gubareni, Nadezhda Mikhaĭlovna., Kirichenko, Vladimir V.
author Hazewinkel, Michiel.
author2-role Gubareni, Nadezhda Mikhaĭlovna., Kirichenko, Vladimir V., SpringerLink (Online service)
author_display Hazewinkel, Michiel
available_at_ccu CCU Electronic Resources
detailed_location_ccu CCU Electronic Resources
format_category_ccu eBook
format_ccu eBook
id fa62569d-1e93-8869-33fd-2f4e4b3cd2c6
isbn 9781402026904, 9781402026911
item_details external_econtent:ils:.b29580766|.i71719842|CCU Electronic Resources||eBook|eBook|1|false|true|SpringerLink||||Available Online||cceb||, external_econtent:ils:.b29580766|.i71770069|CCU Electronic Resources||eBook|eBook|1|false|true|SpringerLink||||Available Online||cceb||
itype_ccu E-book
last_indexed 2018-10-17T12:01:51.558Z
lexile_score -1
literary_form Non Fiction
literary_form_full Non Fiction
owning_library_ccu Colorado Christian University Online
owning_location_ccu CCU Electronic Resources
primary_isbn 9781402026904
publishDate 2004
record_details external_econtent:ils:.b29580766|eBook|eBook||English|Kluwer Academic Publishers,|2004.|1 online resource (xii, 380 pages) : illustrations.
recordtype grouped_work
Bib IdItem IdGrouped StatusStatusLocally OwnedAvailableHoldableBookableIn Library Use OnlyLibrary OwnedHoldable PTypesBookable PTypesLocal Url
external_econtent:ils:.b29580766 .i71719842 Available Online Available Online false true false false false true
external_econtent:ils:.b29580766 .i71770069 Available Online Available Online false true false false false true
series Mathematics and its applications
series_with_volume Mathematics and its applications|575
subject_facet Electronic books, Modules (Algebra), Rings (Algebra)
title_display Algebras, rings and modules. Vol. 1
title_full Algebras, rings and modules. Vol. 1 [electronic resource] / by Michiel Hazewinkel, Nadiya Gubareni and V.V. Kirichenko
title_short Algebras, rings and modules
title_sub Vol. 1
topic_facet Modules (Algebra), Rings (Algebra)