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arXiv · 1308.3451

Equational Noetherian Algebras and Chain Conditions

M. Shahryari
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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. 2013-08-15. Equational Noetherian Algebras and Chain Conditions. https://arxiv.org/abs/1308.3451

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