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Zubairu, M., Mangga, N.. (1403). On the maximal subsemigroups and rank properties of certain semigroups of partial injective contractions of a finite chain. فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), 129-155. doi: 10.22124/jart.2025.24336.1517
M. M. Zubairu; N. M. Mangga. "On the maximal subsemigroups and rank properties of certain semigroups of partial injective contractions of a finite chain". فیزیولوژی و بیوتکنولوژی آبزیان, 12, 2, 1403, 129-155. doi: 10.22124/jart.2025.24336.1517
Zubairu, M., Mangga, N.. (1403). 'On the maximal subsemigroups and rank properties of certain semigroups of partial injective contractions of a finite chain', فیزیولوژی و بیوتکنولوژی آبزیان, 12(2), pp. 129-155. doi: 10.22124/jart.2025.24336.1517
Zubairu, M., Mangga, N.. On the maximal subsemigroups and rank properties of certain semigroups of partial injective contractions of a finite chain. فیزیولوژی و بیوتکنولوژی آبزیان, 1403; 12(2): 129-155. doi: 10.22124/jart.2025.24336.1517

On the maximal subsemigroups and rank properties of certain semigroups of partial injective contractions of a finite chain

Journal of Algebra and Related Topics
دوره 12، شماره 2، فروردین 2025، صفحه 129-155    اصل مقاله (370.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22124/jart.2025.24336.1517
نویسندگان
M. M. Zubairu* 1؛ N. M. Mangga2
1Department of Mathematics, Faculty of Physical Sciences, Bayero University Kano, Nigeria
2Department of Mathematics and Computer Science, Borno State University, P. M. B. 1122, Njimtilo, Maiduguri, Nigeria
چکیده
‎Denote $[n]$ to be a finite $n$ chain $\{1,2,\ldots,n\}$‎. ‎Let $\mathcal{CI}_{n}$ be the semigroup of partial injective contractions on $[n]$‎. ‎Denote $\mathcal{ODDP}_{n}‎, ‎\mathcal{ODCI}_{n}$ and $\mathcal{OCI}_{n}$ to be the semigroups of order-preserving order-decreasing partial isometries‎, ‎order-preserving order-decreasing and order-preserving partial injective contractions‎, ‎respectively‎. ‎In this paper‎, ‎we characterize all the maximal subsemigroups of $\mathcal{ODDP}_{n}$‎, ‎$\mathcal{ODCI}_{n}$ and $\mathcal{OCI}_{n}$‎, ‎respectively‎. ‎We also characterize the regular elements‎, ‎Green's relations‎, ‎their Starred analogues and rank properties of $\mathcal{ODCI}_{n}$.‎
کلیدواژه‌ها
Partial injective Contraction maps on chain؛ maximal subsemigroups؛ rank properties
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