Results 1 to 10 of about 100 (48)

Topological representation for monadic implication algebras [PDF]

open access: yesOpen Mathematics, 2009
In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra.
Abad Manuel   +2 more
doaj   +2 more sources

Uniform topology on EQ-algebras

open access: yesOpen Mathematics, 2017
In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated.
Jiang Yang
exaly   +3 more sources

From ∨e-Semigroups to Hypersemigroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
A poe-semigroup is a semigroup S at the same time an ordered set having a greatest element “e” in which the multiplication is compatible with the ordering.
Kehayopulu Niovi
doaj   +1 more source

Prime preideals on bounded EQ-algebras

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
EQ-algebras were introduced by Novák in [14] as an algebraic structure of truth values for fuzzy type theory (FFT). In [1], Borzooei et. al. introduced the notion of preideal in bounded EQ-algebras.
Akhlaghinia N.   +2 more
doaj   +1 more source

Erratum to: “Application of (m, n)- Γ -Hyperideals in Characterization of LA- Γ -Semihypergroups” by Abul Basar

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
This note is written to show that the definition of the LA- Γ -hypersemi-group and the definition of the ordered LA- Γ -hypersemigroup in [2] should be corrected and that it is not enough to replace the “Γ” of the ordered LA-Γ-semigroup by “◦ Γ ◦” to ...
Kehayopulu Niovi
doaj   +1 more source

The L-ordered L-semihypergroups

open access: yesOpen Mathematics, 2020
This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
doaj   +1 more source

Some Properties of Relative Bi-(Int-)Γ-Hyperideals in Ordered Γ-Semihypergroups

open access: yesFrontiers in Physics, 2020
In this article, we study the concept of relative bi-Γ-hyperideals (J-bi-Γ-hyperideals) in ordered Γ-semihypergroups and present some related examples of this concept.
Yongsheng Rao   +5 more
doaj   +1 more source

A NOTE ON PSEUDO SYMMETRIC IDEALS OF PARTIALLY ORDERED TERNARY SEMIGROUPS [PDF]

open access: yes, 2023
In this article, we study some interesting properties of pseudo symmetric ideals and prime pseudo symmetric ideals in partially ordered ternary ...
Dattatray Shinde, Machchhindra Gophane
core   +1 more source

Generalized state maps and states on pseudo equality algebras

open access: yesOpen Mathematics, 2018
In this paper, we attempt to cope with states in a universal algebraic setting, that is, introduce a notion of generalized state map from a pseudo equality algebra X to an arbitrary pseudo equality algebra Y.
Cheng Xiao Yun   +2 more
doaj   +1 more source

Г-Field

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.
Rao Marapureddy Murali Krishna
doaj   +1 more source

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