Equational Noetherian Algebras and Chain Conditions

2013/08/15 by M. Shahryari, Shahryari, M.
Computer Science · Mathematics · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG #math.LO #msc:03C99 #msc:08A99 #msc:14A99

paper · pdf · doi:10.48550/arxiv.1308.3451

8 pages

arxiv created 2013/08/15 · arxiv updated 2013/08/16

Abstract

In this article, we describe the relation between the properties of being equational noetherian and ascending chain condition on ideals of an arbitrary algebra. We also give a formulation of Hilbert's basis theorem for varieties of algebras and obtain a criterion to investigate it for a given variety.

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