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Azumaya Algebras, Actions, and Modules

1992 Mathematics
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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : 322/5 ( reviews)

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Book Synopsis Azumaya Algebras, Actions, and Modules by : Darrell Haile

Download or read book Azumaya Algebras, Actions, and Modules written by Darrell Haile. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference in honor of Goro Azumaya's seventieth birthday, held at Indiana University of Bloomington in May 1990. Professor Azumaya, who has been on the faculty of Indiana University since 1968, has made many important contributions to modern abstract algebra. His introduction and investigation of what have come to be known as Azumaya algebras subsequently stimulated much research on such rings and algebras, as well as applications to geometry and number theory. In addition to honoring Professor Azumaya's contributions, the conference was intended to stimulate interaction among three areas of his research interests; Azumaya algebras, group and Hopf algebra actions, and module theory. Aimed at researchers in algebra, this volume contains contributions by some of the leaders in these areas.

Modules and Algebras

1996-05-15 Mathematics
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Release : 1996-05-15
Genre : Mathematics
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis Modules and Algebras by : Robert Wisbauer

Download or read book Modules and Algebras written by Robert Wisbauer. This book was released on 1996-05-15. Available in PDF, EPUB and Kindle. Book excerpt: Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.

Algebras, Rings and Modules

2010 Mathematics
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Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 620/5 ( 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 2010. Available in PDF, EPUB and Kindle. Book excerpt: Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.

Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev

1992 Algebra
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Release : 1992
Genre : Algebra
Kind : eBook
Book Rating : 381/5 ( reviews)

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Book Synopsis Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev by : Leonid A. Bokut'

Download or read book Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev written by Leonid A. Bokut'. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry

1992 Mathematics
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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : 306/5 ( reviews)

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Book Synopsis Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry by : R. Keith Dennis

Download or read book Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry written by R. Keith Dennis. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: In the mid-1960's, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic K-theory in the US. These connections were exemplified by the work of Andreotti-Bombieri, Salmon, and Traverso on seminormality, and by Bass-Murthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of K-theory to arithmetic and real geometry. This volume contains the proceedings from a US-Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area.

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