June 21, 2024

The monoid of all order-decreasing full transformations

Key Points

Key points are not available for this paper at this time.

Abstract

Let Dn be the monoid of all order-decreasing full transformations on n=1, …, n. In this paper, we determine the maximal subsemigroups as well as the maximal idempotent generated subsemigroups of Dn. Moreover, we characterize the abundance of the maximal (idempotent generated) subsemigroups of Dn. We also characterize the abundance of the ideals of Dn.

AI에게 질문

Bookmark

View Full Paper

Cite This Study

Zhao et al. (Fri,) studied this question.

synapsesocial.com/papers/68e63d15b6db6435875cecca https://doi.org/https://doi.org/10.1080/00927872.2024.2359052

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The ideals of the monoid of all partial order-preserving extensive transformations2022 · 8 citations
2The monoid of all orientation-preserving and extensive full transformations on a finite chain2021 · 13 citations
3On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations2010 · 14 citations
4Maximal subsemigroups of finite semigroups1968 · 23 citations
5Fundamentals of Semigroup Theory1995 · 2,168 citations

AI에게 질문

Bookmark

View Full Paper