Three papers on algebras and their representations
著者
書誌事項
Three papers on algebras and their representations
(American Mathematical Society translations, Series 2,
American Mathematical Society, c1993
- タイトル別名
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3 papers on algebras and their representations
大学図書館所蔵 全54件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book contains the doctoral dissertations of three students from Novosibirsk who participated in the seminar of L. A. Bokut. The dissertation of Gerasimov focuses on Cohn's theory of noncommutative matrix localizations. Gerasimov presents a construction of matrix localization that is not directly related to (prime) matrix ideals of Cohn, but rather deals with localizations of arbitrary subsets of matrices over a ring. The work of Valitskas applies ideas and constructions of Gerasimov to embeddings of rings into radical rings (in the sense of Jacobson) to develop a theory essentially parallel to Cohn's theory of embeddings of rings into skew fields. Nesterenko's dissertation solves some important problems of Ananin and Bergman about representations of (infinite-dimensional) algebras and categories in (triangular) matrices over commutative rings.
目次
Part I. Free associative algebras and inverting homomorphisms of rings: Introduction Free algebras and algebras with a single relation Inverting homomorphisms of rings Part II. Representations of algebras by triangular matrices: Conventions and notation Introduction Representability of triangular categories and graded algebras Representation of algebras by triangular matrices. Algebras with diagonal Special representations of nilpotent graded algebras References Part III. Embedding rings in radical rings and rational identities of radical algebras: Introduction Index of notation Absence of a finite basis of quasi-identities for the quasi-variety of rings embeddable in radical rings Examples of noninvertible rings embeddable in groups Representation of finite-dimensional Lie algebras in radical rings Rational identities of radical algebras References.
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