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On Almost Armendariz Rings
Singh, Sushma...

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On Almost Armendariz Rings by Singh, Sushma ( Author )
Lemonjar Open Access
N.A
05-02-2015
In this paper, we introduce the notion of almost Armendariz ring which is the generalization of Armendariz ring and discuss some of its properties. We prove that a ring R is almost Armendariz if and only if n X n upper triangular matrix ring T_{n}(R) is almost Armendariz ring. Similarly, If R is almost Armendariz if and only if R[x] is almost Armendariz. It is observed that every almost Armendariz ring is weak Armendariz but converse need not be true. But, if R is semicommutative ring, then weak Armendariz ring is almost Armendariz ring. Moreover, the class of minimal noncommutative almost Armendariz rings is completely determined, up to isomorphism (minimal means having smallest cardinality).
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1502.01508
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