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Interior BCK/BCI-Algebras [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2021
The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related ...
Sun Shin Ahn   +2 more
doaj   +3 more sources

Interior GE-Algebras [PDF]

open access: yesJournal of Mathematics, 2021
The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE-algebras and bordered interior GE-algebras are introduced, and their relations and properties are investigated.
Jeong-Gon Lee   +3 more
doaj   +2 more sources

Imploring interior GE-filters in GE-algebras

open access: yesAIMS Mathematics, 2022
The concept of an imploring interior GE-filter is introduced, and their properties are investigated. The relationship between an interior GE-filter and an imploring interior GE-filter are discussed.
Sun Shin Ahn   +2 more
doaj   +2 more sources

Characterizations of Belligerent Interior GE-Filters in GE-Algebras

open access: yesPan-American Journal of Mathematics, 2023
The notion of GE-algebra is introduced by Bandaru et al. as a generalization of Hilbert algebra. The consept of interior GE-algebra is introduced by Lee et al., and related properties are investigated.
Daniel A. Romano   +3 more
doaj   +2 more sources

Interior GE-Filters of GE-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
The notions of an interior GE-filter, a weak interior GE-filter and a belligerent interior GE-filter are introduced, and their relations and properties are investigated. Example of a GE-filter which is neither an interior GE-filter nor a weak interior GE-
Song Seok-Zun   +3 more
doaj   +2 more sources

Prominent interior GE-filters of GE-algebras

open access: yesAIMS Mathematics, 2021
The concept of a prominent interior GE-filter (of type 1 and type 2) is introduced, and their properties are investigated. The relationship between a prominent GE-filter and a prominent interior GE-filter and the relationship between an interior GE ...
Seok-Zun Song   +2 more
doaj   +2 more sources

Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra

open access: yesMathematics, 2023
The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
doaj   +1 more source

Interior product, Lie derivative and Wilson line in the KBc subsector of open string field theory

open access: yesJournal of High Energy Physics, 2021
The open string field theory of Witten (SFT) has a close formal similarity with Chern-Simons theory in three dimensions. This similarity is due to the fact that the former theory has concepts corresponding to forms, exterior derivative, wedge product and
Hiroyuki Hata, Daichi Takeda
doaj   +1 more source

Action of projections on Banach algebras

open access: yesAIMS Mathematics, 2023
Let $ \mathcal{A} $ be a Banach algebra and $ n > 1 $, a fixed integer. The main objective of this paper is to talk about the commutativity of Banach algebras via its projections.
Shakir Ali   +3 more
doaj   +1 more source

An effective model for the quantum Schwarzschild black hole

open access: yesPhysics Letters B, 2022
We present an effective theory to describe the quantization of spherically symmetric vacuum motivated by loop quantum gravity. We include anomaly-free holonomy corrections through a canonical transformation and a linear combination of constraints of ...
Asier Alonso-Bardaji   +2 more
doaj   +1 more source

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