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arXiv · 1110.1446

Finiteness conditions of $S$-Cohn-Jordan Extensions

Jerzy Matczuk
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Abstract

Let a monoid $S$ act on a ring $R$ by injective endomorphisms and $A=A(R,S)$ denote the $S$-Cohn-Jordan extension of $R$. Some results relating finiteness conditions of $R$ and that of $A$ are presented. In particular necessary and sufficient conditions for $A$ to be left noetherian, to be left Bézout and to be left principal ideal ring are presented.

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Jerzy Matczuk. 2011-10-07. Finiteness conditions of $S$-Cohn-Jordan Extensions. https://arxiv.org/abs/1110.1446

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