Results 1 to 10 of about 203 (97)
Filters and congruences in sectionally pseudocomplemented lattices and posets [PDF]
Soft Computing, 2021 Together with J. Paseka we introduced so-called sectionally pseudocomplemented lattices and posets and illuminated their role in algebraic constructions.
Ivan Chajda +2 more
exaly +3 more sources
Implication in finite posets with pseudocomplemented sections [PDF]
Soft Computing, 2022 It is well-known that relatively pseudocomplemented lattices can serve as an algebraic semantics of intuitionistic logic. To extend the concept of relative pseudocomplementation to non-distributive lattices, the first author introduced so-called ...
Ivan Chajda +2 more
exaly +4 more sources
Subobjects and Compactness in Point‐Free Convergence
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 We consider subobjects in the context of point‐free convergence (in the sense of Goubault‐Larrecq and Mynard), characterizing extremal monomorphisms in the opposite category of that of convergence lattices. It turns out that special ones are needed to capture the notion of subspace.
Emilio Angulo +2 more
wiley +1 more source
On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The concept of state has been considered in commutative and noncommutative logical systems, and their properties are at the center for the development of an algebraic investigation of probabilistic models for those algebras. This article mainly focuses on the study of the lattice of state ideals in De Morgan state residuated lattices (DMSRLs).
Francis Woumfo +4 more
wiley +1 more source
Fuzzy Annihilator Ideals of C‐Algebra
Advances in Fuzzy Systems, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce the concept of relative fuzzy annihilator ideals in C‐algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C‐algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a
Wondwosen Zemene Norahun +3 more
wiley +1 more source
L‐Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce the concept of L‐fuzzy semiprime ideal in a general poset. Characterizations of L‐fuzzy semiprime ideals in posets as well as characterizations of an L‐fuzzy semiprime ideal to be L‐fuzzy prime ideal are obtained. Also, L‐fuzzy prime ideals in a poset are characterized.
Berhanu Assaye Alaba +2 more
wiley +1 more source
c-ideals in complemented posets [PDF]
Mathematica BohemicaIn their recent paper on posets with a pseudocomplementation denoted by $*$ the first and the third author introduced the concept of a $*$-ideal. This concept is in fact an extension of a similar concept introduced in distributive pseudocomplemented ...
Ivan Chajda +2 more
doaj +1 more source
Fuzzy Ideals and Fuzzy Filters of Pseudocomplemented Semilattices
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce the concept of kernel fuzzy ideals and ⁎‐fuzzy filters of a pseudocomplemented semilattice and investigate some of their properties. We observe that every fuzzy ideal cannot be a kernel of a ⁎‐fuzzy congruence and we give necessary and sufficient conditions for a fuzzy ideal to be a kernel of a ⁎‐fuzzy congruence.
Berhanu Assaye Alaba +2 more
wiley +1 more source
Annihilators on weakly standard BCC‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 22, Page 3631-3643, 2005., 2005 In a recent paper the authors presented a new construction of BCC‐algebras derived from posets with the top element 1. Resulting BCC‐algebras, called weakly standard, are those for which every 4‐element subset containing 1 is a subalgebra. In this paper we continue our investigations focusing on the properties of their lattices of congruence kernels.
R. Halaš, L. Plojhar
wiley +1 more source
Some remarks on certain classes of semilattices
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 21-30, 1982., 1980 In this paper the concept of a ∗‐semilattice is introduced as a generalization to distributive ∗‐lattice first introduced by Speed [1]. It is shown that almost all the results of Speed can be extended to a more eneral class of distributive ∗‐semilattices.
P. V. Ramana Murty, M. Krishna Murty
wiley +1 more source