Publications de l'Institut Mathématique, Nouvelle SérieVol. 85(99), pp. 131–137 (2009)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 85(99), pp. 131–137 (2009) |
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PROPERTIES OF ARMENDARIZ RINGS AND WEAK ARMENDARIZ RINGSDusan JokanovicPrirodno-matematicki fakultet, 81000 Podgorica, MontenegroAbstract: We consider some properties of Armendariz and rigid rings. We prove that the direct product of rigid (weak rigid), weak Armendariz rings is a rigid (weak rigid), weak Armendariz ring. On the assumption that the factor ring $R/I$ is weak Armendariz, where $I$ is nilpotent ideal, we prove that $R$ is a weak Armendariz ring. We also prove that every ring isomorphism preserves weak skew Armendariz structure. Armendariz rings of Laurent power series are also considered. Classification (MSC2000): 16S36; 16U90 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 23 Apr 2009. This page was last modified: 22 Oct 2009.
© 2009 Mathematical Institute of the Serbian Academy of Science and Arts
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