AU - Ibrahim, H.
AU - Khalaf, A.
TI - Topological Rings and Modules Via Operations
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 16
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-1208-en.html
4100 - http://ijmsi.ir/article-1-1208-en.pdf
SO - IJMSI 2
ABĀ - 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.
CP - IRAN
IN - Kurdistan Region, Iraq
LG - eng
PB - IJMSI
PG - 31
PT - Research paper
YR - 2021