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Details for article 22 of 31 found articles
| Title: |
Quasi-Armendariz Rings Relative to a Monoid |
| Author: |
Zhongkui, Liu Wenhui, Zhang |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 3 pages 928-947 |
| Year: |
2008-03 |
| Contents: |
A ring R is called an M-quasi-Armendariz ring (a quasi-Armendariz ring relative to a monoid M) if whenever elements α = a1g1 + a2g2 + ··· + angn, β = b1h1 + b2h2 + ··· + bmhm ∈ R[M] satisfy α R[M]β = 0, then aiRbj = 0 for each i, j. After discussing some basic properties of M-quasi-Armendariz rings, we consider the influence of transformation of the monoid M and the ring R on this property. Particularly, we give some sufficient conditions for the monoids M, N, and the ring R under which R is M × N-quasi-Armendariz if and only if R is M-quasi-Armendariz and N-quasi-Armendariz. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 22 of 31 found articles
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