On derivations of BCI-algebras.
type: Item
instance of: scholarly article
title: On derivations of BCI-algebras.
zbMATH Open document ID: 1044.06011
author: Xiaolong Xin
author: Young Bae Jun
published in: Information Sciences
publication date: 2004-05-27T00:00:00Z
review text: The authors study BCI-algebras. The main contribution in this paper is the introduction of the notion of a derivation for BCI-algebras, which is defined in a way similar to the notion in ring theory. This is done by using the cap-operation and the BCI-product. Also, many properties related to the derivations are developed. In particular, the authors study the regular derivation in detail, they give a characterization of regular derivations and characterize the p-semisimple BCI-algebras. This is a quite intesting paper for those who study BCI-algebras. Reviewer's remark: The abelian group structure of a p-semisimple BCI-algebra was first given by \textit{T. D. Lei} and the reviewer [Math. Jap. 30, 511--517 (1985; Zbl 0594.03047)], not in [9] of the references in the paper.
Mathematics Subject Classification ID: 06F35
zbMATH DE Number: 2066786
zbMATH Keywords: p-semisimple BCI-algebra
zbMATH Keywords: derivation
zbMATH Keywords: commutative BCI-algebra
reviewed by: Changchang Xi
MaRDI profile type: Publication
full work available at URL: j.ins.2003.03.001
OpenAlex ID: W2057848850
cites work: Q5202227
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DOI: 10.1016/J.INS.2003.03.001
description: scientific article; zbMATH DE number 2066786