Results 41 to 50 of about 108 (101)
On fuzzy dot subalgebras of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 6, Page 357-364, 2001., 2001 We introduce the notion of fuzzy dot subalgebras in BCH‐algebras, and study its various properties.
Sung Min Hong +3 more
wiley +1 more source
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 12, Page 749-757, 2001., 2001 We introduce a new notion, called a Q‐algebra, which is a generalization of the idea of BCH/BCI/BCK‐algebras and we generalize some theorems discussed in BCI‐algebras. Moreover, we introduce the notion of “quadratic” Q‐algebra, and show that every quadratic Q‐algebra (X; ∗, e), e ∈ X, has a product of the form x∗y = x − y + e, where x, y ∈ X when X is ...
Joseph Neggers +2 more
wiley +1 more source
A Study on Intuitionistic Multi-Anti Fuzzy Subgroups
, 2018 Applied Mathematics and Sciences: An International Journal (MathSJ ) ISSN : 2349 - 6223 R.Muthuraj, S.Balamurugan Abstract For any intuitionistic multi-fuzzy set A = { : x∈X} of an universe set X, we study the set [A](α, β) called the (α, β)–lower ...
R.Muthuraj, S.Balamurugan
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Let A,∗,0 be a d‐algebra. The main focus of this article is to introduce the concept of a homoderivation as a self‐map of A that merges structural aspects of homomorphisms and derivations and then characterizes its relationship with a standard derivation of A.
Hicham Saber +6 more
wiley +1 more source
Relationship between ideals of BCI‐algebras and order ideals of its adjoint semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 9, Page 535-543, 2001., 2001 We consider the relationship between ideals of a BCI‐algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I = M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK‐algebra, then J = M(M−1(J)) for any order ideal J of X, thus, for each BCK‐algebra X there is a one‐to‐one correspondence ...
Michiro Kondo
wiley +1 more source
Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
doaj +1 more source
A New Kind of Derivations in BCI-Algebras [PDF]
, 2013 A new kind of derivation in BCI-algebras is introduced, and related properties are investigated. For a self map d f q of a BCI-algebra X, conditions for the kernel of d f q to be both a subalgebra and an ideal of X are provided.
Ja Kyoung, Lee
core
Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
Topological Algebra and its Applications, 2023 The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated.
Alemayehu Teferi Getachew +3 more
doaj +1 more source