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Operations and vector spaces on $m$-topological transformation semigroup | ||
Journal of Linear and Topological Algebra | ||
دوره 12، شماره 02، شهریور 2023، صفحه 133-140 اصل مقاله (138.13 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.30495/jlta.2023.704265 | ||
نویسندگان | ||
M. O. Francis* ؛ A. O. Adeniji؛ M. M. Mogbonju | ||
Department of Mathematics, Faculty of Science University of Abuja, P.M.B 117, Nigeria | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Vector spaces؛ topological space؛ full transformation semigroup؛ partial transformation semigroup | ||
مراجع | ||
[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. | ||
آمار تعداد مشاهده مقاله: 80 تعداد دریافت فایل اصل مقاله: 140 |