ON Z-SYMMETRIC MODULES
12
Issued Date
2025-07-01
Resource Type
eISSN
2345511X
Scopus ID
2-s2.0-85219610838
Journal Title
Journal of Algebraic Systems
Volume
13
Issue
2
Start Page
119
End Page
131
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of Algebraic Systems Vol.13 No.2 (2025) , 119-131
Suggested Citation
Minh B.P., Sanh N.V. ON Z-SYMMETRIC MODULES. Journal of Algebraic Systems Vol.13 No.2 (2025) , 119-131. 131. doi:10.22044/jas.2023.13005.1711 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/106668
Title
ON Z-SYMMETRIC MODULES
Author's Affiliation
Corresponding Author(s)
Other Contributor(s)
Abstract
A ring R is called a left Z-symmetric ring if ab ε Zl(R) implies ba ε Zl(R), where Zl(R) is the set of left zero-divisors. A right Z-symmetric ring is defined similarly, and a Z-symmetric ring is one that is both left and right Z- symmetric. In this paper, we introduce the concept of Z-symmetric modules as a generalization of Z-symmetric ring. Additionally, we introduce the concept of an eversible module as an analogy to eversible rings and prove that every eversible module is also a Z-symmetric module, like in the case of rings.