Results 31 to 40 of about 124,800 (224)
A non-commutative cryptosystem based on quaternion algebras [PDF]
We propose BQTRU, a non-commutative NTRU-like cryptosystem over quaternion algebras. This cryptosystem uses bivariate polynomials as the underling ring. The multiplication operation in our cryptosystem can be performed with high speed using quaternions algebras over finite rings.
Khadijeh Bagheri +2 more
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Non-invertible duality defect and non-commutative fusion algebra
We study non-invertible duality symmetries by gauging a diagonal subgroup of a non-anomalous U(1)×U(1) global symmetry. In particular, we employ the half-space gauging to c = 2 bosonic torus conformal field theory (CFT) in two dimensions and pure U(1)×U ...
Yuta Nagoya, Soichiro Shimamori
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Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras [PDF]
Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics ...
Xiaohong Zhang +2 more
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The non-commutative Weil algebra [PDF]
34 ...
Alekseev, A., Meinrenken, E.
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Poset topology and homological invariants of algebras arising in algebraic combinatorics [PDF]
We present a beautiful interplay between combinatorial topology and homological algebra for a class of monoids that arise naturally in algebraic combinatorics. We explore several applications of this interplay.
Stuart Margolis +2 more
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Half-commutative orthogonal Hopf algebras [PDF]
A half-commutative orthogonal Hopf algebra is a Hopf *-algebra generated by the self-adjoint coefficients of an orthogonal matrix corepresentation $v=(v_{ij})$ that half commute in the sense that $abc=cba$ for any $a,b,c \in \{v_{ij}\}$.
Bichon, Julien, Dubois-Violette, Michel
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Commutative subalgebras of the algebra of smooth operators [PDF]
We consider the Fr\'echet ${}^*$-algebra $L(s',s)$ of the so-called smooth operators, i.e. continuous linear operators from the dual $s'$ of the space $s$ of rapidly decreasing sequences into $s$. This algebra is a non-commutative analogue of the algebra
Ciaś, Tomasz
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Non-commutative Arens algebras and their derivations
Given a von Neumann algebra $M$ with a faithful normal semi-finite trace $τ,$ we consider the non commutative Arens algebra $L^ω(M, τ)=\bigcap\limits_{p\geq1}L^{p}(M, τ)$ and the related algebras $L^ω_2(M, τ)=\bigcap\limits_{p\geq2}L^{p}(M, τ)$ and $M+L^ω_2(M, τ)$ which are proved to be complete metrizable locally convex *-algebras. The main purpose of
Albeverio, S. +2 more
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A practical digital signature scheme based on the hidden logarithm problem [PDF]
A candidate for practical post-quantum digital signature algorithm based on computational difficulty of the hidden discrete logarithm problem is introduced.
D.N. Moldovyan
doaj
Three-Dimensional Non-Commutative Algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heimbeck, G., Kamupingene, A.H.
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