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In this paper, we introduce the notion of left derivations of $BCH$ algebras and investigate some properties of left derivations in a $BCH$-algebra. Moreover, we introduce the notions of fixed set and kernel set of derivations in a $BCH$-algebra and obtained some interesting properties in medial $BCH$-algebras. Also, we discuss the relations between ideals in a medial $BCH$-algebras.
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참고문헌 신청
M. A. Chaudhry / 1991 / On BCH-algebras / Math. Japonica 36(4):665~676
M. A. Chaudhry / 1996 / Ideals and Filter in BCH-algebras / Math. Japonica 44(1):101~112
Q. P. Hu / 1983 / On BCH-algebra / Math. Sem. Notes Kobe Univ 11(2):313~320
Q. P. Hu / 1985 / On proper BCH-algebra / Math. Japon 30(4):659~661
K. Iseki / 1966 / An algebra related with a propositional calculus / Proc. Japon Acad 42:26~29
M. A. Chaudhry / 1996 / Ideals and Filter in BCH-algebras / Math. Japonica 44(1):101~112
Q. P. Hu / 1983 / On BCH-algebra / Math. Sem. Notes Kobe Univ 11(2):313~320
Q. P. Hu / 1985 / On proper BCH-algebra / Math. Japon 30(4):659~661
K. Iseki / 1966 / An algebra related with a propositional calculus / Proc. Japon Acad 42:26~29
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