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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 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

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.

UDC: 512.552.4

Received: 28.05.2007


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:8, 36–42

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© Steklov Math. Inst. of RAS, 2025