Results 41 to 50 of about 28,390 (281)

On implicative BE algebras

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2023
Summary: We consider some generalizations of BCK algebras (RML, BE, aBE, BE\(^{\ast\ast}\) and aBE\(^{\ast\ast}\) algebras). We investigate the property of implicativity for these algebras. We prove that for any implicative BE\(^{\ast\ast}\) algebra the commutativity property is equivalent to the property of antisymmetry and show that implicative aBE\(^
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SMARANDACHE WEAK BE-ALGEBRAS [PDF]

Communications of the Korean Mathematical Society, 2012
Abstract. In this paper, we introduce the notions of Smarandache weakBE-algebra, Q-Smarandache filters and Q-Smarandache ideals. We showthat a nonempty subset F of a BE-algebra X is a Q-Smarandache filterif and only if A(x,y) ⊆F, which A(x,y) is a Q-Smarandache upper set.The relationship between these notions are stated and proved. 1.
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Differential Algebras in Non-Commutative Geometry

, 1993
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of ...
Chamseddine, Chamseddine, Chamseddine, Chamseddine, Connes, Coquereaux, Coquereaux, Coquereaux, Häußling, Häußling, J. Plass, J.-M. Warzecha, Kastler, Matthai, N.A. Papadopoulos, Papadopoulos, Plass, Quillen, W. Kalau, Warzecha   +19 more
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Class of Sheffer stroke BCK-algebras

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent.
Oner Tahsin, Kalkan Tugce, Saeid Arsham Borumand   +2 more
doaj   +1 more source

k-deformed Poincare algebras and quantum Clifford-Hopf algebras

, 2010
The Minkowski spacetime quantum Clifford algebra structure associated with the conformal group and the Clifford-Hopf alternative k-deformed quantum Poincare algebra is investigated in the Atiyah-Bott-Shapiro mod 8 theorem context.
ALEX E. BERNARDINI, Budinich P., da Rocha R., Faddeev L., JAYME VAZ, Lam T. Y., Lukierski J., ROLDÃO DA ROCHA, Sweedler M. E., Woronowicz S. L.   +9 more
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Combinatorial algebra for second-quantized Quantum Theory [PDF]

, 2010
We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the ...
Blasiak, Pawel, Duchamp, Gerard H.E., Horzela, Andrzej, Penson, Karol A., Solomon, Allan I.   +4 more
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SBE-Algebras via Intuitionistic Fuzzy Structures

Mathematics
The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding
Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh, Akbar Rezaei   +3 more
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Carrollian conformal scalar as flat-space singleton

Physics Letters B, 2023
We show that, in any space-time dimension, the on-shell (electric) conformal Carrollian scalar can be interpreted as the flat-space limit of the singleton representation of the conformal algebra.
Xavier Bekaert, Andrea Campoleoni, Simon Pekar   +2 more
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A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

On Pre-Hilbert and Positive Implicative Pre-Hilbert Algebras

Bulletin of the Section of Logic
In the paper, pre-Hilbert algebras are defined as a generalization of Hilbert algebras (namely, a Hilbert algebra is just a pre-Hilbert algebra satisfying the property of antisymmetry).
Andrzej Walendziak
doaj   +1 more source