Ali Sayed Elfard
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View article: SUBMONOIDS OF ABELIAN PARATOPOLOGICAL GROUPS
SUBMONOIDS OF ABELIAN PARATOPOLOGICAL GROUPS Open
One of the important subclasses of abelian paratopological groups is called the free abelian paratopological group on a topological space. It was introduced in 2003 by Remaguara, Sanchis, and Tkachenko. In this paper, we introduce a single…
View article: Free paratopological groups
Free paratopological groups Open
Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove that the group FP(X) is…