Equationally Noetherian Algebras and Chain Conditions
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https://elib.sfu-kras.ru/handle/2311/10084Author:
Shahryari, Mohammad
Шахриари, Мохамад
Date:
2013-11Abstract:
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 В этой статье мы описываем соотношение между свойствами эквациональной нетеровости
условия восходящих цепей в идеалах произвольной алгебры. Мы также даем формулировку теоремы Гильберта о базисе и получаем критерий в изучении его для данного многообразия
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