On pre-commutative algebras

Hee Sik Kim; Joseph Neggers; Sun Shin Ahn

doi:10.3390/math7040336

On pre-commutative algebras

Hee Sik Kim
, Joseph Neggers
, Sun Shin Ahn

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative BCK-algebra is bounded.

Original language	English
Article number	336
Journal	Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.3390/math7040336
State	Published - 1 Apr 2019

Keywords

(left-, right-) pre-commutative
Abelian
Commutative
D/BCK-algebra
Smarandache disjoint

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10.3390/math7040336

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title = "On pre-commutative algebras",

abstract = "In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative BCK-algebra is bounded.",

keywords = "(left-, right-) pre-commutative, Abelian, Commutative, D/BCK-algebra, Smarandache disjoint",

author = "Kim, \{Hee Sik\} and Joseph Neggers and Ahn, \{Sun Shin\}",

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AU - Ahn, Sun Shin

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AB - In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative BCK-algebra is bounded.

KW - (left-, right-) pre-commutative

KW - Abelian

KW - Commutative

KW - D/BCK-algebra

KW - Smarandache disjoint

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JO - Mathematics

JF - Mathematics

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On pre-commutative algebras

Abstract

Keywords

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