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On Armendariz-Like Properties

Volume 11, Number 1 (2011), 40 - 47

On Armendariz-Like Properties

Price: $20.00


In this paper, we attempt to construct a class of Armendariz-Like properties. We investigate the transfer of the Armendariz-Like properties to trivial ring extensions to localization and direct product of rings, and then generate new families of rings with zero-divisors subject to some given Armendariz-like properties. The article includes a brief discussion of the scope and precision of our results.