On the semigroup of injective transformations with restricted range that equal gap and defect

Let \(X\) be an infinite set and \(I(X)\) the symmetric inverse semigroup on \(X\). Let \(A(X)=\{\alpha \in I(X):|X\setminus \mathrm{dom\;}\alpha|=|X\setminus X\alpha|\}\), it is known that \(A(X)\) is the largest factorizable subsemigroup of \(I(X)\). In this article, for any nonempty subset \(Y\)...

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Bibliographische Detailangaben
Datum:2025
1. Verfasser: Singha, Boorapa
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2025
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2335
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics