Research Article
The Commutativity Condition of the Ring
2025
3
3
77-79
21.03.2025
2822-4566
ENuray Eroğlu
As it is well known, modules are a common generalization of vector spaces, abelian groups, and rings. The definition of a module is obtained by replacing the term ‘field’ in the set of conditions defining a vector space with an arbitrary ring. In this paper, we prove that the abelianity (commutativity) property of the group structure of a unitary module over an arbitrary ring with identity can be recovered from the remaining conditions.
Bcommutativity axiom, ring, group
Nuray Eroğlu neroglu@nku.edu.tr
30.12.2024
04.03.2025
14.03.2025
Nuray EROĞLU JBST. August 2024.39-42 http://doi.org/10.55848/jbst.2025.03
This work is licensed under a Creative Commons Attribution-Non Comercial 4.0 International License.
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