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In this paper, we introduce the notion of multiplier of AC-algebra and consider the properties of multipliers in AC-algebras. Also, we characterized the fixed set $Fix_d(X)$ by multipliers. Moreover, we prove that M(X), the collection of all multipliers of AC-algebras, form a semigroup under certain binary operation.
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참고문헌 (6)
참고문헌 신청
J. A. Goguen / 1969 / The logic of inexact concepts / Synthese 19:325~373
M. Konda / 1998 / Annihilators in BCK-algebras II / Mem. Fac. Sci. Eng. Shimane. Series B: Mathematics Science 31:21~25
R. Larsen / 1971 / An Introduction to the Theory of Multipliers / Springer-Verlag
K. H. Rosen / 2003 / Discrete Mathematics and its applications / McGraw-Hill
D. Sun / 2002 / The semigroup characterizations of Nil BCI-algebras / Southeast Asian Bulletin of Mathematics 26:651~657
M. Konda / 1998 / Annihilators in BCK-algebras II / Mem. Fac. Sci. Eng. Shimane. Series B: Mathematics Science 31:21~25
R. Larsen / 1971 / An Introduction to the Theory of Multipliers / Springer-Verlag
K. H. Rosen / 2003 / Discrete Mathematics and its applications / McGraw-Hill
D. Sun / 2002 / The semigroup characterizations of Nil BCI-algebras / Southeast Asian Bulletin of Mathematics 26:651~657
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