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Francis, M. O.; Adeniji, A. O.; Mogbonju, M. M.

Operations and vector spaces on \(m\)-topological transformation semigroup. (English) Zbl 1538.46003

J. Linear Topol. Algebra 12, No. 2, 133-140 (2023).
Summary: 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.

MSC:

46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)
20M99 Semigroups

Keywords:

vector spaces; topological space; full transformation semigroup; partial transformation semigroup
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References:

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