On Strong $(a)$-Rings

Aziza Rahmouni Hassani; Najib Mahdou

arxiv: 0908.1342 · v1 · submitted 2009-08-10 · 🧮 math.AC

On Strong (a)-Rings

Najib Mahdou , Aziza Rahmouni Hassani This is my paper

classification 🧮 math.AC

keywords propertystrongringringssatisfyalongamalgamatedclass

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In this paper, we introduce a strong property $(A)$ and we study the transfer of property $(A)$ and strong property $(A)$ in trivial ring extensions and amalgamated duplication of a ring along an ideal. We also exhibit a class of rings which satisfy property $(A)$ and do not satisfy strong property $(A)$.

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On Strong (a)-Rings

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