On BV -Algebras

In Ho Hwang, Yong Lin Liu and Hee Sik Kim
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In Ho Hwang: Department of Mathematics, Incheon National University, Incheon 22012, Korea
Yong Lin Liu: School of Mathematics and Finance, Putian University, Putian 351100, China
Hee Sik Kim: Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea

Mathematics, 2020, vol. 8, issue 10, 1-13

Abstract: In this paper, we introduce the notion of a B V -algebra, and we show that a B V -algebra is logically equivalent to several algebras, i.e., B M -algebras, B T -algebras, B O -algebras and 0-commutative B -algebras. Moreover, we show that a B V -algebra with ( F ) is logically equivalent to several algebras, and we show some relationships between a B V -algebra with ( F ) and several related algebras.

Keywords: BV -algebra; B -algebra; BF -algebra; BM -algebra; BN -algebra; BO -algebra; BT -algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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