Results 1 to 10 of about 34,528,690 (304)
On Derived SuperHyper BE-Algebras [PDF]
Neutrosophic Sets and Systems, 2023 Florentin Smarandache, introduced a creative idea named superhyper algebras as a popularization of algebras, via the nested power sets, superhyper operation, and superhyper axiom.
Sirus Jahanpanah, Roohallah Daneshpayeh
doaj +1 more source
On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Orthomodular lattices generalize the Boolean algebras; they have arisen in the study of quantum logic. Quantum-MV algebras were introduced as non-lattice theoretic generalizations of MV algebras and as non-idempotent generalizations of ...
Afrodita Iorgulescu
doaj +1 more source
Mathematics Interdisciplinary Research, 2023 In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined.
Somayeh Borhani Nejad Rayeni +1 more
doaj +1 more source
Quasi-Complemented BE-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter.
Kumar V. Venkata +2 more
doaj +1 more source
FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS [PDF]
Journal of Algebraic Systems, 2021 In this paper, the notion of fuzzy medial filters of a pseudo BE-algebra is defined, and some of the properties are investigated. We show that the set of all fuzzy medial filters of a pseudo BE-algebra is a complete lattice.
A. Rezaei
doaj +1 more source
Discussiones Mathematicae - General Algebra and Applications, 2021 A new algebraic structure was introduced, called an eGE-algebra, which is a generalisation of a GE-algebra and investigated its properties. We explore the definition of filters and the quotient algebra associated with such filters.
Bandaru R.K., Rafi N., Rezaei A.
doaj +1 more source
Fundamental Relation on HvBE-Algebras
Bulletin of the Section of Logic, 2023 In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation.
Farzad Iranmanesh +2 more
doaj +1 more source
Neutro-Sigma Algebras and Anti-Sigma Algebras [PDF]
Neutrosophic Sets and Systems, 2022 Neutro-algebra structures play a significant role in the neutrosophic theory. Especially, with the help of neutroalgebraic structures; neutrosophic theory makes a valuable addition to the classical theory.
Memet Şahin
doaj +1 more source
Logical Methods in Computer Science, 2017 In this paper we investigate important categories lying strictly between the Kleisli category and the Eilenberg-Moore category, for a Kock-Z\"oberlein monad on an order-enriched category. Firstly, we give a characterisation of free algebras in the spirit of domain theory.
Dirk Hofmann, Lurdes Sousa
openaire +7 more sources
Baxter algebras and Hopf algebras [PDF]
Transactions of the American Mathematical Society, 2003 By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study conditions under which these Hopf algebras are isomorphic.
Andrews, George E. +3 more
openaire +2 more sources