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Disjoint-union partial algebras [PDF]

open access: yesLogical Methods in Computer Science, 2017
Disjoint union is a partial binary operation returning the union of two sets if they are disjoint and undefined otherwise. A disjoint-union partial algebra of sets is a collection of sets closed under disjoint unions, whenever they are defined.
Robin Hirsch, Brett McLean
doaj   +9 more sources

Unbounded Conditional Expectations for Partial O∗-Algebras [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The main purpose of this paper is to generalize studies of unbounded conditional expectations for O∗-algebras to those for partial O∗-algebras.
Mayumi Takakura
doaj   +3 more sources

Partial algebras, meaning categories and algebraization

open access: yesTheoretical Computer Science, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcus Kracht
exaly   +4 more sources

Biweights and *-homomorphisms of partial *-algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Consider two partial *-algebras, 1 and 2, and an *-homomorphism Φ from 1 into 2. Given a biweight ϕ on 2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 1.
Jean-Pierre Antoine   +2 more
doaj   +4 more sources

Nearly $k-th$ Partial Ternary Cubic $*$-Derivations On Non-Archimedean $\ell$-Fuzzy $C^{*}$-Ternary Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2022
In this paper, we investigate approximations of the $k-th$ partial ternary cubic derivations on non-Archimedean $\ell$-fuzzy Banach ternary algebras and non-Archimedean $\ell$-fuzzy $C^{*}$-ternary algebras.
Mohammad Ali Abolfathi
doaj   +1 more source

Pseudo o-Minimality for Double Stone Algebras [PDF]

open access: yesMathematics Interdisciplinary Research, 2023
Pseudo o-minimality is a generalization of o-minimality of linear orders to partial orders. Recently Lei Chen, Niandong Shi and Guohua Wu provided pseudo o-minimality for the class of Stone algebras. In this note we use quantifier elimination property to
Farhad Jahanian, Jafar Sadegh Eivazloo
doaj   +1 more source

Partial Menger algebras and their weakly isomorphic representation

open access: yesMathematics Open, 2022
As generalization of semigroups, Karl Menger introduced in the 1940th algebras of multiplace operations. Such algebras satisfy the superassociative law, a generalization of the associative law.
K. Denecke
doaj   +1 more source

New Type of Soft (Prime) Ideals in Commutative BCK-Algebras [PDF]

open access: yesJisuanji kexue yu tansuo, 2022
The soft set theory is an important mathematical tool for dealing with uncertainty. By endowing a par-ameter set as a commutative BCK-algebra (that is commutative weak-BCI-algebra), the notions of a new type of soft prime ideals, annihilators of soft ...
HUANG Yu, LIAO Zuhua
doaj   +1 more source

Algebras of entire functions containing functions of unbounded type on a Banach space

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we consider algebras of entire analytic functions which are bounded on a prescribed family of balls in a Banach space. We investigate the structures of such algebras and describe their spectra in terms of spectra of algebras of uniformly ...
A. Zagorodnyuk, A. Hihliuk
doaj   +1 more source

Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices

open access: yesAxioms, 2023
This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang   +2 more
doaj   +1 more source

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