Results 61 to 70 of about 138,244,374 (198)
Closed algebras for higher rank, non-Abelian tensor gauge fields
Nuclear Physics B, 2021 A systematic method is presented for the construction and classification of algebras of gauge transformations for arbitrary high rank tensor gauge fields.
Spyros Konitopoulos
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Piecewise algebraic varieties*
Progress in Natural Science, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Renhong, Zhu, Chungang
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn +3 more
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Weakly Idempotent Lattices and Bilattices, Non-Idempotent Plonka Functions
Demonstratio Mathematica, 2015 In this paper, we study weakly idempotent lattices with an additional interlaced operation. We characterize interlacity of a weakly idempotent semilattice operation, using the concept of hyperidentity and prove that a weakly idempotent bilattice with an ...
Davidova D. S., Movsisyan Yu. M.
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Annals of Pure and Applied Logic, 1989 Any \(n+1\)-ary relation R on a set X induces the n-ary operation \(f_ R\) on the set \({\mathcal P}(X)\) of subsets of X defined by \[ f_ R(X_ 1,...,X_ n)=\{y| \exists x_ 1...x_ n(R(x_ 1,...,x_ n,y)\wedge x_ 1\in X_ 1\wedge...\wedge x_ n\in X_ n)\}.
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THE VARIETY OF COSET RELATION ALGEBRAS [PDF]
The Journal of Symbolic Logic, 2018 AbstractGivant [6] generalized the notion of an atomic pair-dense relation algebra from Maddux [13] by defining the notion of a measurable relation algebra, that is to say, a relation algebra in which the identity element is a sum of atoms that can be measured in the sense that the “size” of each such atom can be defined in an intuitive and reasonable ...
Givant, Steven, Andréka, Hajnal
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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Many-valued coalgebraic logic over semi-primal varieties [PDF]
Logical Methods in Computer ScienceWe study many-valued coalgebraic logics with semi-primal algebras of truth-degrees. We provide a systematic way to lift endofunctors defined on the variety of Boolean algebras to endofunctors on the variety generated by a semi-primal algebra.
Alexander Kurz +2 more
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Jordan Algebras Over Algebraic Varieties [PDF]
Communications in Algebra, 2010 We construct Jordan algebras over a locally ringed space using generalizations of the Tits process and the first Tits construction by Achhammer. Some general results on the structure of these algebras are obtained. Examples of Albert algebras over a Brauer-Severi variety with associated central simple algebra of degree 3 are given.
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Classification of Four-Dimensional Complex Poisson Algebras
AxiomsThis paper provides a complete classification of four-dimensional complex Poisson algebras, extending previous work on lower-dimensional cases. We develop a systematic approach that combines the classification of four-dimensional complex commutative ...
Hani Abdelwahab, José María Sánchez
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