Nil-M-Noetherian and nil-M-Artinian modules
Faranak Farshadifar
Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.
Pages 103-112 | Received 11 April 2025, Accepted 28 August 2025, Published 19 July 2026
Abstract
Let R be a commutative ring with identity and M be an R-module. The aim of this paper is to introduce and investigate the notions of nil-M-Noetherian and nil-M-Artinian modules as generalizations of Noetherian and Artinian modules. Also, in this regard we introduce nil versions of some algebraic concepts.
Keywords: Nil-M-cyclic, nil-M-Noetherian, nil-M-Artinian, nil-M-finitely generated, nil-M-finitely cogenerated.
MSC numbers: 13C13, 13C99.
Downloads: Full-text PDF