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

محورهای موضوعی : Algebraic topology

M. O. Francis ¹ (Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria)
A. O. Adeniji ² (Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria)
M. M. Mogbonju ³ (Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria)

تاریخ دریافت : 1402/02/13 تاریخ پذیرش : 1402/04/09 تاریخ انتشار : 1402/03/11

کلید واژه: Vector spaces, topological space, full transformation semigroup, partial transformation semigroup,

چکیده مقاله :

‎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.

منابع و مأخذ:

[1] A. O. Adeniji, M. M. Mogbonjubola, K. J. Onu, Metricization on full transformation semigroup, Nigeria J. Math. Appl. 24 (2015), 47-52.

[2] E. Kreyszig, Introductory Functional Analysis with Applications, John Wiley & Sons, New York, 1978.

[3] O. Ganyushkin, V. Mazorchuk, Introduction to Classical Finite Transformation Semigroups, Springer-Verlag, London, 2009.

[4] S. A. Morris, Topology without Tears, Federation University Australia, 2012.

[5] J. R. Munkres, Topology, Pearson, 1999.

[6] K. P. Girish, S. Jacob John, Multiset topologies induced by multiset relations, Information Sci. 188 (1) (2012),
298-313.
[7] M. O. Francis, Number of equivalent and non-equivalent homeomorphic topological spaces for n ⩽ 4, Inter.
J. Math. Stat. Inv. 8 (1) (2020), 25-29.