Equational Noetherian Algebras and Chain Conditions

Published 15 Aug 2013 in math.AG and math.LO | (1308.3451v1)

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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M. Shahryari

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