On BG-algebras

Chang Bum Kim, Hee Sik Kim

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

In this paper we introduce the notion of BG-algebras which is a generalization of.B-algebras. We construct a BG-algebra from a non-empty set, which is non-group-derived. Moreover, using the notion of normal subalgebra, we obtain several isomorphism theorems of BG-algebra and related properties.

Original languageEnglish
Pages (from-to)497-505
Number of pages9
JournalDemonstratio Mathematica
Volume41
Issue number3
StatePublished - 2008 Jul 1

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Algebra
Isomorphism theorems
Subalgebra
Generalization

Keywords

  • BG-algebra
  • Group derived
  • Normal
  • Quotient BG-algebra

Cite this

Kim, C. B., & Kim, H. S. (2008). On BG-algebras. Demonstratio Mathematica, 41(3), 497-505.
Kim, Chang Bum ; Kim, Hee Sik. / On BG-algebras. In: Demonstratio Mathematica. 2008 ; Vol. 41, No. 3. pp. 497-505.
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Kim, CB & Kim, HS 2008, 'On BG-algebras', Demonstratio Mathematica, vol. 41, no. 3, pp. 497-505.

On BG-algebras. / Kim, Chang Bum; Kim, Hee Sik.

In: Demonstratio Mathematica, Vol. 41, No. 3, 01.07.2008, p. 497-505.

Research output: Contribution to journalArticle

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T1 - On BG-algebras

AU - Kim, Chang Bum

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AB - In this paper we introduce the notion of BG-algebras which is a generalization of.B-algebras. We construct a BG-algebra from a non-empty set, which is non-group-derived. Moreover, using the notion of normal subalgebra, we obtain several isomorphism theorems of BG-algebra and related properties.

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KW - Normal

KW - Quotient BG-algebra

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Kim CB, Kim HS. On BG-algebras. Demonstratio Mathematica. 2008 Jul 1;41(3):497-505.