Abstract
The concept of the Birkhoff centre of a semi group with 0 and 1 was introduced by U.M. Swamy and G.S. Murti [3], analogous to that of a bounded Poset [1], and proved that it is a Boolean algebra. This concept was extended to a semi group with sufficiently many commuting idempotents in [2] by G.S. Murti and proved that it is a relatively complemented distributive lattice. In this paper, we extend the above concept for a general semi group S and prove that the Birkhoff centre of any semi group S is a relatively complemented distributive lattice.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
AMS Subject Classification (1991): 06A12, 20M10.
About this article
Cite this article
Swamy, U.M., Pragathi, C. Birkhoff Centre of a Semi Group. SEA bull. math. 26, 659–667 (2003). https://doi.org/10.1007/s100120200070
Issue Date:
DOI: https://doi.org/10.1007/s100120200070