Results 111 to 120 of about 213 (150)
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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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H∞-calculus for Products of Non-Commuting operators
Mathematische Zeitschrift, 2005It is shown that the product of two sectorial operators A and B admits a bounded H∞-calculus on a Banach space X provided suitable commutator estimates and Kalton-Weis type assumptions on A and B are satisfied.
Robert Haller-Dintelmann +1 more
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Commutator Calculus and the Lower Central Series
1982In 1933, there appeared a 66-page paper by P. Hall with the title A contribution to the theory of groups of prime power order. Its introduction describes it as “the first stages of an attempt to construct a systematic general theory of groups of prime power order.” These groups are also called p-groups, where, if p is not specified as in 3-groups, etc.,
Bruce Chandler, Wilhelm Magnus
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Quasi-shuffle algebras in non-commutative stochastic calculus
2020This chapter is divided into two parts. The first is largely expository and builds on Karandikar's axiomatisation of It{ } calculus for matrix-valued semimartin-gales. Its aim is to unfold in detail the algebraic structures implied for iterated It{ } and Stratonovich integrals.
Ebrahimi-Fard, Kurusch +1 more
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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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Non-commutative logic II: sequent calculus and phase semantics
Mathematical Structures in Computer Science, 2000Non-commutative logic, which is a unification of commutative linear logic and cyclic linear logic, is extended to all linear connectives: additives, exponentials and constants. We give two equivalent versions of the sequent calculus (directly with the structure of order varieties, and with their presentations as partial orders), phase semantics and ...
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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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Commutator Calculus and Groups of Homotopy Classes
1981A fundamental problem of algebraic topology is the classification of homotopy types and homotopy classes of maps. In this work the author extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent group and Lie algebra theory and rely on an extensive and systematic ...
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Algebraic functor calculus and commutator theory
2013Classically, Lie algebras can be considered as linearizations of groups in several ways, and thus provide key tools in group theory. With the emergence of more and more other non-linear algebraic structures the problem arises to generalize the relations between groups and Lie algebras to a much broader context.
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