Results 131 to 140 of about 251 (157)
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Non-commutative functional calculus
Journal d'Analyse Mathématique, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agler, Jim, McCarthy, John E.
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A generalization of the bracketing process applied in the commutator calculus
Communications in Algebra, 1980 Hermann V. Waldinger +1 more
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Non-commutativity and MELL in the Calculus of Structures
2001We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of multiplicative linear logic, by a self-dual noncommutative operator inspired by CCS, that seems not to be expressible in the sequent calculus. Then we show that multiplicative
Alessio Guglielmi, Lutz Straßburger
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Commutative diagrams and tensor calculus in Riemann spaces
Il Nuovo Cimento B, 1993The basic rules of tensor analysis in non-Euclidean spaces are derived by means of the formalism of commutative diagrams (widely used in many branches of mathematics, especially the theory of categories). We consider here as an example the case of general relativity (although this approach can be applied to gauge theories as well).
MIGNANI, ROBERTO, PESSA E, RESCONI G.
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Commutator Calculus for Wreath Product Groups
Communications in Algebra, 2015We introduce a class of function spaces consisting of integer-valued functions of several integers which coordinatize the elements of certain subgroups of some finite regular wreath product groups. On each function space, we define operators which correspond to forming certain commutators relevent to computing the upper central series.
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Non-commutative differential calculus and q-analysis
Journal of Physics A: Mathematical and General, 1992Summary: Starting from the formulation of covariant non-commutative differential calculus recently given by Wess and Zumino we construct a deformation of the Virasoro algebra, which allow us to identify the variables and differential operators on the quantum plane \(\mathbb{R}^ 2_ q\) to those on the classical plane \(\mathbb{R}^ 2\).
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Differential Calculus as Part of Commutative Algebra
2020This is the central chapter of the book. At the beginning of the chapter, it is shown that the classical definitions of the calculus or of differential geometry, say that of the derivative or tangent vector, are unsatisfactory, being of descriptive nature, and conceptually correct definitions are needed.
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Calculus over Commutative Algebras: A Concise User Guide
Acta Applicandae Mathematica, 1997In this paper, I. S. Krasil'shchik presents the basic facts and definitions concerning linear differential operators and jets for modules over a commutative associative unitary \(\kappa\)-algebra. The paper is a well written exposition of the subject with presentation of the Spencer Diff-complex, the de Rham complex and the Spencer jet-complex.
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Linear axiomatics of commutative product-free Lambek calculus
Studia Logica, 1990Axiomatics which do not employ rules of inference other than the cut rule are given for commutative product-free Lambek calculus in two variants: with and without the empty string. Unlike the former variant, the latter one turns out not to be finitely axiomatizable in that way.
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A Functional Calculus for Pairs of Commuting Contractions
Journal of the London Mathematical Society, 1974Briem, E. +2 more
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