On Pre-Commutative Algebras

On Pre-Commutative Algebras

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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>...

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Bibliographic Details
Main Authors: Hee Sik Kim, Joseph Neggers, Sun Shin Ahn
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
abelian
(left-, right-) pre-commutative
commutative
<i>d</i>/<i>BCK</i>-algebra
Smarandache disjoint
Online Access:https://www.mdpi.com/2227-7390/7/4/336
Description
Summary: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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>B</mi> <mi>C</mi> <mi>K</mi> </mrow> </semantics> </math> </inline-formula>-algebra is bounded.
ISSN:2227-7390

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