Geodesic
PROPERTIES OF ARMENDARIZ RINGS AND WEAK ARMENDARIZ RINGS
Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 131

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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.
DOI : 10.2298/PIM0999131J
Classification : 16S36 16U90 
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     author = {Du\v{s}an Jokanovi\'c},
     title = {PROPERTIES {OF} {ARMENDARIZ} {RINGS} {AND} {WEAK} {ARMENDARIZ} {RINGS}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {131 },
     publisher = {mathdoc},
     volume = {_N_S_85},
     number = {99},
     year = {2009},
     doi = {10.2298/PIM0999131J},
     zbl = {1234.16016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0999131J/}
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Dušan Jokanović. PROPERTIES OF ARMENDARIZ RINGS AND WEAK ARMENDARIZ RINGS. Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 131 . doi: 10.2298/PIM0999131J

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