RELATION BETWEEN MULTIALGEBRAS AND BOOLEAN ALGEBRAS WITH OPERATOR

Xhaferi, Miranda (2019) RELATION BETWEEN MULTIALGEBRAS AND BOOLEAN ALGEBRAS WITH OPERATOR. Journal of Natural Sciences and Mathematics of UT, 4 (7-8). pp. 183-188. ISSN 2671-3039

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Abstract

In this paper, we will show that based on the concept of multialgebras and relying on the power structures of these algebras, which we could also consider as relational structures, and adding the set of operations we get a Boolean algebra with operator. The power structure of relational structure = (A, ) is an algebra with the set (A) and the set of all basic operations defined as follows: for we have so that for . Hence if is Boolean algebra, for every f we say that is an operator if it is additive for every its argument, thus: Furthermore if than f is complete additive operator. Also we will show that every Boolean algebra with operator is a power structure of any multialgebra.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	22 Feb 2020 18:40
Last Modified:	22 Feb 2020 18:40
URI:	http://eprints.unite.edu.mk/id/eprint/453

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