• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.375-384
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• 2009

Characterizations of simulative WFI-algebras are provided. The notion of commutators, doubly simulative parts, doubly simulative WFI-algebras, and WFI-morphisms are introduced. Using the notion of commutators, the conditions for a WFI-algebra to be simulative are given. Characterizations of doubly simulative WFI-algebras are discussed. Using the notion of doubly simulative WFI-algebras, a commutative pomonoid is established.

• Communications of the Korean Mathematical Society
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• v.25 no.3
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• pp.335-342
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• 2010

The structure of fuzzy topological spaces based on WFI-algebras is considered. The notions of WFI-fuzzy topological spaces and WFI-fuzzy continuous mappings are introduced, and several properties are investigated. A relation between WFI-homomorphism and WFI-fuzzy continuous mapping is given.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.3
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• pp.571-577
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• 2009

The notion of subdirect sum and direct sum in WFI-algebras is introduced, and several properties are investigated.

• Honam Mathematical Journal
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• v.28 no.4
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• pp.559-572
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• 2006

The notion of simulative and mutant WFI-algebras is introduced, and several properties are investigated. Characterizations of a simulative WFI-algebra are established. A relation between an associative WFI-algebra and a simulative WFI-algebra is given. Some types for a simulative WFI-algebra to be mutant are found.

• Honam Mathematical Journal
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• v.28 no.4
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• pp.471-484
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• 2006

The notion of ideals in WFI-algebras is introduced, and several properties are investigated. Relations between a filter and an ideal are given, and characterizations of an ideal are provided. An extension property for an ideal is established.

• Communications of the Korean Mathematical Society
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• v.23 no.1
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• pp.41-47
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• 2008

The notions of mote, beam and osculatory WFI-algebra are introduced, and several properties are investigated. Relations between osculatory WFI-algebra and associative WFI-algebra are provided. Characterizations of osculatory WFI-algebra are given.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.925-932
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• 2008

The notion of weak filters in WFI-algebras is introduced. Relations between weak filters and concrete filters are established. A condition for a filter to be closed is given. Also, a condition for a filter to be a weak filter is provided. Characterizations of weak and concrete filters are discussed. A condition for a subalgebra to be a concrete filter is given.

• Bulletin of the Korean Mathematical Society
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• v.44 no.4
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• pp.691-699
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• 2007

The notion of perfect filters and concrete filters in WFI-algebras is introduced, and several properties are investigated. Relations between a filter, a perfect filter and a concrete filter are given, and characterizations of a perfect filter and a concrete filter are provided. An extension property for a concrete filter and a perfect filter is established.

• Honam Mathematical Journal
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• v.30 no.1
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• pp.119-126
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• 2008

The notion of uncanny filter is introduced, and related properties are investigated. Relations between uncanny filter, closed filter, and concrete filter are given. Characterizations of uncanny filter are provided. Extension property for uncanny filter is established.