• 호남수학학술지
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• 제28권1호
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• pp.57-67
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• 2006

we apply the hyperstructures to BCC-algebras, and introduce the concept of a hyper BCC-algebra which is a generalization of a BCC-algebra, and investigates some related properties. We also introduce the notion of a hyper BCC-subalgebra, BCC-scalar element and a hyper BCC-ideal, and discuss related properties.

• 호남수학학술지
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• 제31권3호
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• pp.335-349
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• 2009

Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.

• 대한수학회논문집
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• 제23권2호
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• pp.169-178
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• 2008

In this paper, we show how to associate certain topologies with special ideals of BCC-algebras on these BCC-algebras. We show that it is natural for BCC-algebras to be topological BCC-algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clopen sets and thus to be highly connected via the ideal theory of BCC-algebras.

• 호남수학학술지
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• 제30권3호
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• pp.505-512
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• 2008

The notion of positive implicative Smarandache BCC-ideals is introduced, and related properties are investigated. Relations between Smarandache BCC-ideals and positive implicative Smarandache BCC-ideals are discussed. The extension property of a positive implicative Smarandache BCC-ideals is given.

• East Asian mathematical journal
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• 제26권3호
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• pp.441-446
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• 2010

We characterize the main types of anti fuzzy ideals in weak BCC-algebras.

• East Asian mathematical journal
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• 제26권5호
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• pp.641-647
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• 2010

Various characterizations of (m, n)-fold p-ideals of weak BCC-algebras are presented.

• East Asian mathematical journal
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• 제23권2호
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• pp.247-255
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• 2007

Basic properties of branches of weak BCC-algebras and ideals of BCC-algebras containing only atoms are described.

• Kyungpook Mathematical Journal
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• 제45권1호
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• pp.115-121
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• 2005

Using the concept of fuzzy points, the notions of fuzzy point BCC-(sub) algebras, quasi BCC-(sub)algebras and quasi BCC-ideals are introduced. Some characterizations of them are discussed.

• 호남수학학술지
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• 제34권2호
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• pp.263-271
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• 2012

Any BCK-ideal of a BCC-algebra can be decomposed into the union of some sets. The notion of a complicatedness and a derivation for a BCC-algebra is introduced and some related properties are obtained.

• 호남수학학술지
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• 제35권2호
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• pp.201-210
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• 2013

In this paper, we introduced the notion of multiplier of a BCC-algebra, and gave some properties of BCC-algebras. Also, we characterized kernels and normal ideals of multipliers on BCC-algebras.