On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
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Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic [PDF]
Intuitionistic logic, in which the double negation law not-not-P = P fails, is dominant in categorical logic, notably in topos theory. This paper follows a different direction in which double negation does hold.
Bart Jacobs
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Boolean valued interpretation of Banach space theory and module structures of von Neumann algebras [PDF]
Recently, systematic applications of the Scott-Solovay Boolean valued set theory were done by several authors; Takeuti [25, 26, 27, 28, 29, 30], Nishimura [13, 14] Jech [8] and Ozawa [15, 16, 17, 18, 19, 20] in analysis and Smith [23], Eda [2, 3] in algebra.
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We present an explicit formula for the $K$-theory of the $C^*$-algebra associated with a relative generalized Boolean dynamical system $(\CB, \CL, θ, \CI_\af; \CJ)$. In particular, we find concrete generators for the $K_1$-group of $C^*(\CB, \CL, θ, \CI_\af; \CJ)$.
Toke Meier Carlsen, Eun Ji Kang
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Generalized XOR Operation and the Categorical Equivalence of the Abbott Algebras and Quantum Logics. [PDF]
Burešová D.
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
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The Measurement Problem Is a Feature, Not a Bug-Schematising the Observer and the Concept of an Open System on an Informational, or (Neo-)Bohrian, Approach. [PDF]
Cuffaro ME.
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Derr R, Williamson RC.
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Non-Kolmogorovian Probabilities and Quantum Technologies. [PDF]
Holik FH.
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