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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 5, Pages 59–63 (Mi ivm8895)
This article is cited in 3 papers

Brief communications

CS-Rickart modules

A. N. Abyzov, Tran Hoai Ngoc Nhan

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal Univesrity, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: We introduce a notion of CS-Rickart module being a modular analog of the ACS-ring concept. We describe the rings over which each finitely generated projective module is CS-Rickart module. The presented results yield the known results related to Rickart modules and semihereditary rings.

Keywords: CS-Rickart modules, Rickart modules, ACS-rings, semihereditary rings.

UDC: 512.55

Presented by the member of Editorial Board: M. M. Arslanov
Received: 25.10.2013


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:5, 48–52

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