Results 11 to 20 of about 378,509 (227)
Ultra LI-ideals in lattice implication algebras [PDF]
Czechoslovak Mathematical Journal, 2002 We define an ultra LI-ideal of a lattice implication algebra and give equivalent conditions for an LI-ideal to be ultra. We show that every subset of a lattice implication algebra which has the finite additive property can be extended to an ultra LI-ideal.
Yang Xu, Ke Yun Qin, Young Bae Jun
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Vague Implicative LI – Ideals of Lattice Implication Algebras [PDF]
Mathematics and Statistics, 2015 We introduce the concept of vague implicative LI – ideals of lattice implication algebra and discuss some of their properties. We study the relationship between v-implicative filters, vague ILI - ideals and ILI – ideals. Extension property of a vague implicative LI – ideal is built.
V. Amarendra Babu, T. Anitha
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The prime filter theorem of lattice implication algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Using a special set x−1F, we give an equivalent condition for a filter to be prime, and applying this result, we provide the prime filter theorem in lattice implication ...
Young Bae Jun
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The lattice of varieties of implication semigroups [PDF]
Order 37 (2020), 271-277, 2018 In 2012, the second author introduced and examined a new type of algebras as a generalization of De Morgan algebras. These algebras are of type (2,0) with one binary and one nullary operation satisfying two certain specific identities. Such algebras are called implication zroupoids.
Gusev, S. V. +2 more
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FUZZIFYING FILTERS IN LATTICE IMPLICATION ALGEBRAS [PDF]
Honam Mathematical Journal, 2009 We introduce the concepts of a fuzzifying fllter and a fuzzifying implicative fllter in lattice implication algebras.
Seon Yu Kim, Eun Hwan Roh
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A definition of lattice implication algebra based on implication operator [PDF]
Proceedings on Intelligent Systems and Knowledge Engineering (ISKE2007), 2007 Lattice implication algebra is an important nonclassical logical algebra, it has been studied by researchers. Binary operation ∧, ∨ and unitary operation ′ in lattice implication algebra could be defined by implication operation→, namely, these operations in lattice implication algebra are not independently.
Zheng Pei, Liangzhong Yi
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On Power Idealization Filter Topologies of Lattice Implication Algebras [PDF]
The Scientific World Journal, 2014 The aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their quotient spaces.
Shi-Zhong Bai, Xiu-Yun Wu
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Filteristic Soft Lattice Implication Algebras [PDF]
, 2011 Applying the idea of soft set theory to lattice implication algebras, the novel concept of (implicative) filteristic soft lattice implication algebras which related to (implicative) filter(for short, (IF-)F-soft lattice implication algebras) are introduced. Basic properties of (IF-)F-soft lattice implication algebras are derived.
Yi Liu, Yang Xu
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TOPOLOGICAL ASPECTS OF FILTERS IN LATTICE IMPLICATION ALGEBRAS [PDF]
Bulletin of the Korean Mathematical Society, 2006 A condition for a lattice filter to be a filter is given. Using the prime filter theorem which is discussed in [2], topological aspects on filters are discussed.
Young-Bae Jun
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Roughness of Filters in Lattice Implication Algebras [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 Yang Xu, Y. B. Jun
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