Birkhoff Centre of a Semi Group

Autor:	U. M. Swamy, Ch. Pragathi
Rok vydání:	2003
Předmět:	Discrete mathematics Pure mathematics symbols.namesake Group (mathematics) Bounded function Boolean algebra (structure) symbols Distributive lattice Partially ordered set Birkhoff's representation theorem Central element Complemented lattice Mathematics
Zdroj:	Southeast Asian Bulletin of Mathematics. 26:659-667
ISSN:	0219-175X 0129-2021
DOI:	10.1007/s100120200070
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::289a6b6698bf6e1a65da05a41013c2e9 https://doi.org/10.1007/s100120200070 Zobrazit plný text záznamu Full text from SpringerLink