@ARTICLE{Ibrahim,
author = {Ibrahim, H. and Khalaf, A. and },
title = {Topological Rings and Modules Via Operations},
volume = {16},
number = {2},
abstract ={The structure of an $alpha_{(beta, beta)}$-topological ring is richer in comparison with the structure of an $alpha_{(beta, beta)}$-topological group. The theory of $alpha_{(beta, beta)}$-topological rings has many common features with the theory of $alpha_{(beta, beta)}$-topological groups. Formally, the theory of $alpha_{(beta, beta)}$-topological abelian groups is included in the theory of $alpha_{(beta, beta)}$-topological rings. The purpose of this paper is to introduce and study the concepts of $alpha_{(beta, beta)}$-topological rings and $alpha_{(beta, gamma)}$-topological $R$-modules. we show how they may be introduced by specifying the neighborhoods of zero, and present some basic constructions. We provide fundamental concepts and basic results on $alpha_{(beta, beta)}$-topological rings and $alpha_{(beta, gamma)}$-topological $R$-modules. },
URL = {http://ijmsi.ir/article-1-1208-en.html},
eprint = {http://ijmsi.ir/article-1-1208-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {10.52547/ijmsi.16.2.31},
year = {2021}
}