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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 12, Pages 3–14 (Mi ivm8400)
This article is cited in 3 papers

Generalized $SV$-rings of bounded index of nilpotency

A. N. Abyzov

Chair of Algebra and Mathematical Logics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We obtain a criterion under which all right modules over a ring of bounded index are weakly regular.

Keywords: weakly regular module, semiartinian ring, generalized $SV$-ring, regular ideal.

UDC: 512.55

Received: 24.01.2011


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:12, 1–10

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© Steklov Math. Inst. of RAS, 2025