The local finite basis property and local representability of varieties of associative rings

A. Ya Belov

doi:10.1070/im2010v074n01abeh002481

The local finite basis property and local representability of varieties of associative rings

A. Ya Belov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove the local representability and local finite basis property of varieties of associative rings and algebras over an arbitrary associative-commutative Noetherian ring φ.

Original language	English
Pages (from-to)	1-126
Number of pages	126
Journal	Izvestiya Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1070/im2010v074n01abeh002481
State	Published - 2010

Keywords

Hilbert series
Non-commutative algebraic geometry
PI-algebra
Polynomial identity
Quiver
Representable algebra
Representation theory
Specht problem
Universal algebra

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10.1070/im2010v074n01abeh002481

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abstract = "We prove the local representability and local finite basis property of varieties of associative rings and algebras over an arbitrary associative-commutative Noetherian ring φ.",

keywords = "Hilbert series, Non-commutative algebraic geometry, PI-algebra, Polynomial identity, Quiver, Representable algebra, Representation theory, Specht problem, Universal algebra",

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doi = "10.1070/im2010v074n01abeh002481",

language = "אנגלית",

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KW - Hilbert series

KW - Non-commutative algebraic geometry

KW - PI-algebra

KW - Polynomial identity

KW - Quiver

KW - Representable algebra

KW - Representation theory

KW - Specht problem

KW - Universal algebra

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The local finite basis property and local representability of varieties of associative rings

Abstract

Keywords

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