Results 11 to 20 of about 222 (59)
The Cayley Sum Graph of Ideals of a Lattice
Discussiones Mathematicae - General Algebra and Applications, 2020 Let L be a lattice, 𝒥(L) be the set of ideals of L and S be a subset of 𝒥 (L). In this paper, we introduce an undirected Cayley graph of L, denoted by ΓL,S with elements of 𝒥 (L) as the vertex set and, for two distinct vertices I and J, I is adjacent to ...
Afkhami Mojgan +2 more
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On Various 2-absorbing prime ideals in non commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we analyze strongly 2-absorbing prime ideals (shortly strongly 2-API), strongly 2-absorbing weak prime ideals (shortly strongly 2-AWPI) and 2-absorbing weak prime ideals (shortly 2-AWPI) in a non-commutative ring, which represent ...
Palanikumar M. +3 more
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Varieties whose tolerances are homomorphic images of their congruences [PDF]
, 2012 The homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsev-like condition, we characterize varieties whose tolerances are homomorphic images of their ...
Czedli, Gabor, Kiss, Emil W.
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CONSTRUCTION OF COMPLEX NESTED IDEAL LATTICES FOR COMPLEX-VALUED CHANNEL QUANTIZATION
, 2018 In this work we develop a new algebraic methodology which quantizes complex-valued channels in order to realize interference alignment (IA) onto a complex ideal lattice.
C. Watanabe
semanticscholar +1 more source
Some operations on lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 45-52, 2001., 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.
E. H. Roh +3 more
wiley +1 more source
Fantastic filters of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 277-281, 2000., 2000 The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.
Young Bae Jun
wiley +1 more source
Finite semilattices with many congruences [PDF]
, 2018 For an integer $n\geq 2$, let NCSL$(n)$ denote the set of sizes of congruence lattices of $n$-element semilattices. We find the four largest numbers belonging to NCSL$(n)$, provided that $n$ is large enough to ensure that $|$NCSL$(n)|\geq 4$. Furthermore,
Czédli, Gábor
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Weak-hyperlattices derived from fuzzy congruences
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the case of rings [19].
Koguep Blériot Blaise Njionou +1 more
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The possible values of critical points between strongly congruence-proper varieties of algebras [PDF]
, 2014 We denote by Conc(A) the semilattice of all finitely generated congruences of an (universal) algebra A, and we define Conc(V) as the class of all isomorphic copies of all Conc(A), for A in V, for any variety V of algebras.
Elliott +24 more
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Aggregating Fuzzy Binary Relations and Fuzzy Filters
Discussiones Mathematicae - General Algebra and Applications, 2018 The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are explored.
Amroune Abdelaziz, Aissa Bouad
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