On BG-algebras

• Autorzy: Kim C. , Kim H.
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce the notion of BG-algebras which is a generalization of BG-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.

Słowa kluczowe

EN

BG-algebra; BCK-algebra; group derived

PL

algebra BG; algebra BCK; pochodna grupy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 3
• Strony: 497--505
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kim C.

autor

Kim H.

• Department of Mathematics Kookmin University Seoul 136-702, Korea,

Bibliografia

• [1] Qing Ping Hu, Xin Li, On BCH-algebras, Math. Seminar Notes 11 (1983), 313-320.
• [2] Qing Ping Hu and Xin Li, On proper BCH-algebras, Math. Japonica 30 (1985), 659-661.
• [3] K. Iséki, S. Tanaka, An introduction to theory of BCK-algebras, Math. Japonica 23 (1978), 1-26.
• [4] K. Iséki, On BCI-algebras, Math. Seminar Notes 8 (1980), 125-130.
• [5] Y. B. Jun, E. H. Roh and H. S. Kim, On BH-algebras, Sci. Math. Japonica Online 1 (1998), 347-354.
• [6] R. N. McKenzie, G. F. McNulty and W. F. Taylor, Algebras, Lattices, Varieties, Vol. 1, Wadsworth & Brooks/Cole, Monterey, 1987.
• [7] J. Meng and Y. B. Jun, BCK-algebras, Kyung Moon Sa. Co., Seoul, 1994.
• [8] J. Neggers and H. S. Kim, On d-algebras, Math. Slovaca 49 (1999), 19-26.
• [9] J. Neggers and H. S. Kim, On B-algebras, Mat. Vesnik 54 (2002), 21-29.
• [10] J. Neggers and H. S. Kim, A fundamental theorem of B-homomorphism for algebras, Internat. Math. J. 2 (2002), 215-219.