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Rings, Modules, Algebras, and Abelian Groups

2020-02-10 Mathematics
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Release : 2020-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 817/5 ( reviews)

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Book Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini

Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini. This book was released on 2020-02-10. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological

Abelian Groups, Rings, Modules, and Homological Algebra

2006-01-27 Mathematics
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Release : 2006-01-27
Genre : Mathematics
Kind : eBook
Book Rating : 528/5 ( reviews)

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Book Synopsis Abelian Groups, Rings, Modules, and Homological Algebra by : Pat Goeters

Download or read book Abelian Groups, Rings, Modules, and Homological Algebra written by Pat Goeters. This book was released on 2006-01-27. Available in PDF, EPUB and Kindle. Book excerpt: About the book... In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the participants of these talks along with contributions from other veteran researchers who were unable to attend. These papers reflect many of the current topics in Abelian Groups, Commutative Algebra, Commutative Rings, Group Theory, Homological Algebra, Lie Algebras, and Module Theory. Accessible even to beginning mathematicians, many of these articles suggest problems and programs for future study. This volume is an outstanding addition to the literature and a valuable handbook for beginning as well as seasoned researchers in Algebra. about the editors... H. PAT GOETERS completed his undergraduate studies in mathematics and computer science at Southern Connecticut State University and received his Ph.D. in 1984 from the University of Connecticut under the supervision of William J. Wickless. After spending one year in a post-doctoral position in Wesleyan University under the tutelage of James D. Reid, Goeters was invited for a tenure track position in Auburn University by Ulrich F. Albrecht. Soon afterwards, William Ullery and Overtoun Jenda were hired, and so began a lively Algebra group. OVERTOUN M. G. JENDA received his bachelor's degree in Mathematics from Chancellor College, the University of Malawi. He moved to the U.S. 1977 to pursue graduate studies at University of Kentucky, earning his Ph.D. in 1981 under the supervision of Professor Edgar Enochs. He then returned to Chancellor College, where he was a lecturer (assistant professor) for three years. He moved to the University of Botswana for another three-year stint as a lecturer before moving back to the University of Kentucky as a visiting assistant professor in 1987. In 1988, he joined the Algebra research group at Auburn University.

Algebras, Rings and Modules

2006-01-18 Mathematics
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Release : 2006-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 919/5 ( reviews)

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Book Synopsis Algebras, Rings and Modules by : Michiel Hazewinkel

Download or read book Algebras, Rings and Modules written by Michiel Hazewinkel. This book was released on 2006-01-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Rings, Modules, and the Total

2004 Modules (Algebra)
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Release : 2004
Genre : Modules (Algebra)
Kind : eBook
Book Rating : 259/5 ( reviews)

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Book Synopsis Rings, Modules, and the Total by : Friedrich Kasch

Download or read book Rings, Modules, and the Total written by Friedrich Kasch. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of??partially invertible homomorphisms???, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The??total??? consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.

Rings, Modules, Algebras, and Abelian Groups

2020-02-10 Mathematics
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Release : 2020-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 810/5 ( reviews)

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Book Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini

Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini. This book was released on 2020-02-10. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological

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