The concept of S-algebra and its properties
Abstract
In this paper, a new type of algebra namely S-algebra is introduced. The partial ordering on S-algebra is introduced, some examples of S-algebras are given and some equivalent conditions for an S-algebra to become a distributive lattice are given by introducing a partial order S-algebra x≤y, if y∧x=x. This partial ordering leads to some S-algebras. Congruences on S-algebra are introduced and some properties on congruences are proved. The concept of central element in an S-algebra is introduced. By using a central element a of S, S-algebra can be decomposed into two S-algebras and some important properties are emphasized.
Copyright © 2021 P. Sundarayya, V. Sree Ramani, S. Ramesh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
P. Sundarayya, V. S. Ramani, S. Ramesh, The concept of S-algebra and its properties, J. Math. Comput. Sci. 11 (2021), 5993–6006. https://doi.org/10.28919/jmcs/6194
BibTeX
@article{Sundarayya2021,
author = {Sundarayya, P. and Ramani, V. Sree and Ramesh, S.},
title = {The concept of S-algebra and its properties},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5993--6006},
doi = {10.28919/jmcs/6194}
}