Results 11 to 20 of about 587 (209)

On n‐fold implicative filters of lattice implication algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce the notion of n‐fold implicative filters and n‐fold implicative lattice implication algebras. We give characterizations of n‐fold implicative filters and n‐fold implicative lattice implication algebras. Finally, we construct an extension property for n‐fold implicative filter.
Young Bae Jun
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Representation of Cubic Lattices by Symmetric Implication Algebras

Order, 2006
A lattice \(L\) is called cubic [\textit{J. S. Oliveira}, The theory of cubic lattices. PhD thesis, MIT (1992)] if (1) for \(x \in L\), there is an order-preserving map \(\Delta_x:(x]\to(x]\); (2) \(\Delta^2_x=\text{Id}_{(x]}\); (3) for ...
Manuel Abad, José Patricio Díaz Varela
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Absorbent Li – Ideals of Lattice Implication Algebras

International Journal of Innovative Technology and Exploring Engineering, 2019
on this paper we present the concept of Absorbent LI – ideal of pass section notion polynomial math L. We communicate about the relations some of the Absorbent LI – requirements to ILI – beliefs, Associative LI – goals and awesome LI – desires of L.
N. Srinivas, T. Anitha, V. Amarendra Babu   +2 more
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Filteristic Soft Lattice Implication Algebras

, 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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FOLDING THEORY OF IMPLICATIVE/FANTASTIC FILTERS IN LATTICE IMPLICATION ALGEBRAS [PDF]

Communications of the Korean Mathematical Society, 2004
Summary: We discuss the \(n\)-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of \(n\)-fold implicative/fantas-tic filters are given. Conditions for a filter to be \(n\)-fold implicative are provided.
Young-Bae Jun, Seok-Zun Song
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Some operations on lattice implication algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce the concept of a ⊗‐closed set and a ⊗‐homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗, fuzzy filters and fuzzy implicative filters.
Eun-Hwan Roh, S. Y. Kim, Yejun Xu, Young Bae Jun   +3 more
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ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

, 2017
In this paper, we introduced the notion of symmetric bi-derivations on lattice implication algebra and investigated some related properties. Also, we characterized the FixD (L), and KerD (L) by symmetric bi-derivations.
Şule Ayar Özbal, Öncül Altındağ, Yong Ho Yon   +2 more
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On generalized $f$-derivations of lattice implication algebras

, 2019
Summary: In this paper, we introduce the notion of generalized derivation of lattice implication algebra and investigated some related properties. Also, we prove that if \(D\) is a generalized derivation associated with a derivationd of \(L\), then \(D(x\to y)=x\to D(y)\) for all \(x,y\in L\)
Kyung Ho Kim
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When implication algebras can be residuated lattices? [PDF]

Afrika Matematika
Abstract M. Ward and R.P. Dilworth were the first to describe the commutative residuated lattices as a generalization of ideal ring lattices. Complete studies on residuated lattices were developed by H. Ono, T. Kowalski, P. Jipsen and C. Tsinakis. Furthermore, Y. Xu is credited with the invention of lattice implication algebra. The aim of the
Basim Samir, Huda Merdach
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Congruence Relations on Lattice Implication Algebras

Journal of Mathematics Research, 2011
Lattice implication algebra is an important logic algebra, congruence relations is one of important contents in it. The basic properties and the structures of general congruence relations on lattice implication algebras are discussed; The results that a lattice implication algebra is congruence-permutable is obtained.
Yi Liu, Yang Xu, Ya Qin, Chengxi Liu
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