### 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 language | English |
---|---|

Pages (from-to) | 497-505 |

Number of pages | 9 |

Journal | Demonstratio Mathematica |

Volume | 41 |

Issue number | 3 |

State | Published - 2008 Jul 1 |

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### Keywords

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

### Cite this

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - On BG-algebras

AU - Kim, Chang Bum

AU - Kim, Hee Sik

PY - 2008/7/1

Y1 - 2008/7/1

N2 - 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.

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.

KW - BG-algebra

KW - Group derived

KW - Normal

KW - Quotient BG-algebra

UR - http://www.scopus.com/inward/record.url?scp=73449124374&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:73449124374

VL - 41

SP - 497

EP - 505

JO - Demonstratio Mathematica

JF - Demonstratio Mathematica

SN - 0420-1213

IS - 3

ER -