Isolated and nilpotent subsemigroups in the variants of $\IS$
G.Y. Tsyaputa
TL;DR
This paper characterizes all isolated, completely isolated, and nilpotent subsemigroups within the semigroup of injective partial transformations under sandwich multiplication, providing a comprehensive structural analysis.
Contribution
It offers a complete description of specific subsemigroups in the sandwich-structured semigroup of injective partial transformations, extending understanding of its algebraic structure.
Findings
Classification of all isolated subsemigroups
Description of nilpotent subsemigroups
Analysis of completely isolated subsemigroups
Abstract
All isolated, completely isolated, and nilpotent subsemigroups in the semigroup of all injective partial transformations of an -element set, considered as a semigroup with a sandwich multiplication are described.
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Taxonomy
Topicssemigroups and automata theory · Geometric and Algebraic Topology · Natural Language Processing Techniques