سیویلیکا را در شبکه های اجتماعی دنبال نمایید.

Small submodules with respect to an arbitrary submodule

Publish Year: 1394
Type: Journal paper
Language: English
View: 83

This Paper With 9 Page And PDF Format Ready To Download

Export:

Link to this Paper:

Document National Code:

JR_JART-3-2_004

Index date: 11 July 2024

Small submodules with respect to an arbitrary submodule abstract

Let R be an arbitrary ring and T be a submodule of an R-module M. A submodule N of M is called T-small in M provided for each submodule X of M, T\subseteq X+N implies that T\subseteq X. We study this mentioned notion which is a generalization of the small submodules and we obtain some related results.

Small submodules with respect to an arbitrary submodule Keywords:

Small submodules with respect to an arbitrary submodule authors

R. Beyranvand

Lorestan University

F. Moradi

Lorestan University