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

Hanyang University
University of Alabama

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

13 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

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On pre-commutative algebras

Abstract

Keywords

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