Operations and vector spaces on $m$-topological transformation semigroup

Subject Areas : Algebraic topology

M. O. Francis ¹ , A. O. Adeniji ² , M. M. Mogbonju ³

1 - Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria
2 - Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria
3 - Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria

Received: 2023-05-03 Accepted : 2023-06-30 Published : 2023-06-01

Keywords: Vector spaces, topological space, full transformation semigroup, partial transformation semigroup,

Abstract :

‎This research paper introduces the concept of $m$-topological transformation semigroup spaces and explores their fundamental set operations‎. ‎Additionally‎, ‎the study explores the properties of vector spaces defined on $m$-topological transformation semigroup spaces‎, ‎examining how algebraic structures interact with the underlying spaces‎.

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