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Bi-closure systems and various completeness

Ju-Mok Oh
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제25권 제3호|pp. 265-278|DOI 10.30948/afmi.2023.25.3.265

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참고문헌

키워드

Generalized residuated latticesBi-partially ordered setsRight (resp. left) closure systemsRight (resp. left) join completeRight (resp. left) meet complete

초록

Closure operators and closure systems play a significant role in both pure and applied mathematics such that algebra, topology, analysis and computer science. We investigate the relationships between right (resp. left) closure systems and right (resp. left) closure operators on complete generalized residuated lattices. We show that the set induced by a right (resp. left) closure operator is right (resp. left) meet complete.

Abstract

Closure operators and closure systems play a significant role in both pure and applied mathematics such that algebra, topology, analysis and computer science. We investigate the relationships between right (resp. left) closure systems and right (resp. left) closure operators on complete generalized residuated lattices. We show that the set induced by a right (resp. left) closure operator is right (resp. left) meet complete.

참고문헌 (24)

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