Open AccessA Note on Boolean Like Algebras
Author(s) -
K Pushpalatha,
V. M.L.Hima Bindu
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.10.26660
Subject(s) - two element boolean algebra , stone's representation theorem for boolean algebras , complete boolean algebra , boolean algebras canonically defined , free boolean algebra , boolean algebra , boolean ring , mathematics , boolean expression , parity function , algebra over a field , interior algebra , discrete mathematics , boolean function , pure mathematics , algebra representation , cellular algebra , quotient ring , commutative ring , commutative property
In this paper we develop on abstract system: viz Boolean-like algebra and prove that every Boolean algebra is a Boolean-like algebra. A necessary and sufficient condition for a Boolean-like algebra to be a Boolean algebra has been obtained. As in the case of Boolean ring and Boolean algebra, it is established that under suitable binary operations the Boolean-like ring and Boolean-like algebra are equivalent abstract structures.