Open AccessA Note on Interior Bases of Semigroups
Author(s) -
Walunyaporn Panate,
Wichapon Chatthong,
Warud Nakkhasen
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.49
Subject(s) - semigroup , base (topology) , mathematics , cancellative semigroup , pure mathematics , algebra over a field , mathematical analysis
The concept of two-sided bases of a semigroup S was introduced by Fabrici in 2009. In this paper, we introduce the concept of interior bases of a semigroup S which is based on the result of interior ideals generated by a nonempty subset of the semigroup S. Then, we study some results of a semigroup S containing interior bases and characterize when a nonempty subset of a semigroup S is an interior base of S