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

Izv. Vyssh. Uchebn. Zaved. Mat., 2025 Number 10, Pages 83–87 (Mi ivm10130)

Brief communications

Modules close to quasi-discrete

Bui Tien Dat

Can Tho University of Technology, 256 Nguyen Van Cu str., Can Tho City, Vietnam

Abstract: Quasi-discrete and $\pi$-projective modules are important and well-studied classes of modules, whose definitions are dual to the equivalent characterizations of the notion of a quasi-continuous module. In this paper, we introduce and study new classes of modules that also serve as dual concepts of quasi-continuous modules.

Keywords: $\pi$-projective module, quasi-discrete module, supplemented module.

UDC: 512.552

Received: 23.09.2025
Revised: 23.09.2025
Accepted: 26.09.2025

DOI: 10.26907/0021-3446-2025-10-83-87



© Steklov Math. Inst. of RAS, 2026