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

• Datum: 2025
• 1. Verfasser: Singha, Boorapa
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2025
• Schlagworte: transformation semigroup; Green's relation; natural partial order; 20M20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2335
• Назва журналу: Algebra and Discrete Mathematics

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 \(Y\)...