@article {
author = {Ahmadi Zand, M. R. and Rostami, S.},
title = {ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS},
journal = {Journal of Algebraic Systems},
volume = {8},
number = {1},
pages = {17-26},
year = {2020},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2019.8356.1409},
abstract = {Abstract. A topological group H is called ω -narrow if for everyneighbourhood V of it’s identity element there exists a countableset A such that V A = H = AV. A semigroup G is called a generalized group if for any x ∈ G there exists a unique element e(x) ∈ Gsuch that xe(x) = e(x)x = x and for every x ∈ G there existsx − 1 ∈ G such that x − 1x = xx − 1 = e(x). Also let G be a topological space and the operation and inversion mapping are continuous,then G is called a topological generalized group. If {e(x) | x ∈ G} iscountable and for any a ∈ G, {x ∈ G|e(x) = e(a)} is an ω-narrowtopological group, then G is called an ω-narrow topological generalized group. In this paper, ω-narrow and resolvable topologicalgeneralized groups are introduced and studied},
keywords = {ω-narrow topological generalized group,Resolvable topological generalizad group,Precompact topological generalized group,Invariance number},
url = {https://jas.shahroodut.ac.ir/article_1763.html},
eprint = {https://jas.shahroodut.ac.ir/article_1763_7eca9f8c7119e52f92adbafaae64e02c.pdf}
}