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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 8, Pages 45–52 (Mi ivm3054)  
Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones

A. S. Kuz'mina

Chair of Geometry, Barnaul State Pedagogical University, Barnaul, Russia
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Abstract: In this paper we study varieties of rings in which any subdirectly irreducible finite ring is Armendariz. We also describe the locally finite varieties of Armendariz rings.
Keywords: Armendariz ring, variety of rings, locally finite variety of rings, polynomial identity.
Received: 28.05.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 8, Pages 36–42
DOI: https://doi.org/10.3103/S1066369X09080064
Bibliographic databases:
UDC: 512.552.4
Language: Russian
Citation: A. S. Kuz'mina, “Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 8, 45–52; Russian Math. (Iz. VUZ), 53:8 (2009), 36–42
Citation in format AMSBIB
\Bibitem{Kuz09}
\by A.~S.~Kuz'mina
\paper Varieties of rings, where all subdirectly irreducible finite rings are Armendariz ones
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 8
\pages 45--52
\mathnet{http://mi.mathnet.ru/ivm3054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2584257}
\zmath{https://zbmath.org/?q=an:05633030}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 8
\pages 36--42
\crossref{https://doi.org/10.3103/S1066369X09080064}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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