Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 2, pp. 363-368 (2009)

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On Armendariz Rings

Chahrazade Bakkari and Najib Mahdou

Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco

Abstract: In this work, we construct a class of Armendariz rings and a class of non-Armendariz rings. For this we study the transfer of the Armendariz property to trivial ring extension and direct product. The article includes a brief discussion of the scope and precision of our results.

Keywords: Armendariz ring, Gaussian ring, trivial ring extension, direct product

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Electronic version published on: 28 Aug 2009. This page was last modified: 11 Sep 2009.

© 2009 Heldermann Verlag
© 2009 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition