Results 61 to 70 of about 427,892 (185)

ℒ-Fuzzy Cosets of ℒ-Fuzzy Filters of Residuated Multilattices

International Journal of Mathematics and Mathematical Sciences, 2022
This paper mainly focuses on building the ℒ-fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ-fuzzy filter and ℒ-fuzzy deductive system of residuated multilattices.
Pierre Carole Kengne, Blaise Bleriot Koguep Njionou, Daquin Cèdric Awouafack, Luc Eméry Diékouam Fotso   +3 more
doaj   +1 more source

New Fixed‐Point and Common Fixed‐Point Results in Finite‐Dimensional Normed Pre‐A∗ Vector Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper establishes new fixed‐point and common fixed‐point theorems for continuous and asymptotically regular self‐maps defined on finite‐dimensional normed pre‐A∗ vector spaces over σ‐complete pre‐A∗‐algebras. We prove that every continuous and asymptotically regular self‐map on such a space has at least one fixed point (Theorem 2).
Kidanemariam Birhane Gebremedhin, Jonnalagadda Venkateswara Rao, Gebreslassie Tesfay Berhe, Shikha Binwal   +3 more
wiley   +1 more source

Residuated bilattices [PDF]

, 2011
We introduce a new product bilattice construction that generalizes the well-known one for interlaced bilattices and others that were developed more recently, allowing to obtain a bilattice with two residuated pairs as a certain kind of power of an ...
Jansana, R, Ramon Jansana, Umberto Rivieccio, Rivieccio, Umberto, Jansana, Ramon   +4 more
core   +2 more sources

Residuation in orthomodular lattices

Topological Algebra and its Applications, 2017
We show that every idempotent weakly divisible residuated lattice satisfying the double negation law can be transformed into an orthomodular lattice. The converse holds if adjointness is replaced by conditional adjointness.
Chajda Ivan, Länger Helmut
doaj   +1 more source

(f, g)-DERIVATIONS IN RESIDUATED LATTICES [PDF]

Journal of Algebraic Systems
In this paper, we present and examine the characteristics of (f, g)-derivations for a residuated lattice. Some relationships between (f, g)-derivationand isotone, contractive and ideal (f, g)-derivations are given.
Mbarek Zaoui, Driss Gretete, Brahim Fahid   +2 more
doaj   +1 more source

Mp-Residuated Lattices

Kragujevac Journal of Mathematics
This paper is devoted to the study of a fascinating class of residuated lattices, the so-called mp-residuated lattice, in which any prime filter contains a unique minimal prime filter. A combination of algebraic and topological methods is applied to obtain new and structural results on mp-residuated lattices.
Rasouli, Saeed, Dehghani, Amin
openaire   +3 more sources

On the Structural Behavior of Multiplicative (Generalized)‐Derivations via d‐Algebra Structures

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the context of a d‐algebra structure (℧, ∗, 0), this paper aims to introduce the concept of a multiplicative (generalized)‐derivation G associated with a self‐map Ξ (not necessarily a derivation). Based on this concept, the operations ∧ and composition ° will be defined, and several interesting related properties will be investigated, such as ...
Hicham Saber, Zakia Z. Al-Amery, Radwan M. Al-Omary, Khaled Aldwoah, Ria Egami, Pramita Mishra   +5 more
wiley   +1 more source

H‐Fuzzy Ideals and H‐Fuzzy Filters in Distributive Join‐Semilattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates H‐fuzzy ideals of distributive join‐semilattices with least element 0 whose codomain is a complete lattice that satisfies the infinite meet distributive law. We also construct a number of characterizations for any H‐fuzzy ideal generated by an H‐fuzzy subset.
Mohammed Amare Mohammed, Berehanu Bekele Belayneh, Zelalem Teshome Wale, Gezahagne Mulat Addis, G. Muhiuddin   +4 more
wiley   +1 more source

Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras

Mathematics, 2022
General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
doaj   +1 more source

Representable dually residuated lattice-ordered monoids [PDF]

, 2003
Dually residuated lattice-ordered monoids (DRl-monoids) generalize lattice-ordered groups and include also some algebras related to fuzzy logic (e.g. GMV-algebras and pseudo BL-algebras). In the paper, we give some necessary and sufficient conditions for
Kühr, Jan
core   +1 more source