Search results for "General Mathematics"

showing 10 items of 3795 documents

On the derived category of the Cayley plane II

2014

We find a full strongly exceptional collection for the Cayley plane OP2, the simplest rational homogeneous space of the exceptional group E6. This collection, closely related to the one given by the second author in [J. Algebra, 330:177-187, 2011], consists of 27 vector bundles which are homogeneous for the group E6, and is a Lefschetz collection with respect to the minimal equivariant embedding of OP2.

AlgebraDerived categoryPure mathematicsGroup (mathematics)HomogeneousApplied MathematicsGeneral MathematicsCayley planeHomogeneous spaceEmbeddingEquivariant mapVector bundleMathematicsProceedings of the American Mathematical Society
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Some considerations on Hydra groups and a new bound for the length of words

2014

Abstract After a survey on some recent results of Riley and others on Ackermann functions and Hydra groups, we make an analogy between DNA sequences, whose growth is the same of that of Hydra groups, and a musical piece, written with the same algorithmic criterion. This is mainly an aesthetic observation, which emphasizes the importance of the combinatorics of words in two different contexts. A result of specific mathematical interest is placed at the end, where we sharpen some previous bounds on deterministic finite automata in which there are languages with hairpins.

AlgebraDeterministic finite automatonGeneral MathematicsAnalogyLernaean HydraAlgebra over a fieldAckermann functionMathematicsMathematica Slovaca
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Indefinite integrals of special functions from integrating factors

2019

Some general integrals are presented which were obtained from two integrating factors f(x) and fˆ(x) for the first two and last two terms, respectively, of the second-order linear ordinary differen...

AlgebraDifferential equationSpecial functionsApplied Mathematics010102 general mathematicsGauss hypergeometric function010103 numerical & computational mathematics0101 mathematics01 natural sciencesAnalysisMathematicsIntegrating factorIntegral Transforms and Special Functions
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Extension of analytic functional calculus mappings and duality by $$\bar \partial $$ -Closed forms with growth

1982

AlgebraDiscrete mathematicsBar (music)General MathematicsDuality (optimization)Extension (predicate logic)MathematicsFunctional calculusMathematische Annalen
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Extension maps in ultradifferentiable and ultraholomorphic function spaces

2000

AlgebraDiscrete mathematicsFunction spaceFréchet spaceGeneral MathematicsExtension (predicate logic)MathematicsStudia Mathematica
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On trifactorized soluble minimax groups

1988

AlgebraDiscrete mathematicsGeneral MathematicsMinimaxMathematicsArchiv der Mathematik
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Products of pairwise totally permutable groups

2003

[EN] In this paper finite groups factorized as products of pairwise totally permutable subgroups are studied in the framework of Fitting classes

AlgebraDiscrete mathematicsMathematics Subject ClassificationGeneral MathematicsPairwise comparisonPermutable primeProducts of groupsFitting classesMATEMATICA APLICADAFinite groupsMathematics
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Representations of Certain Banach C*-modules

2004

The possibility of extending the well known Gelfand–Naimark– Segal representation of *-algebras to certain Banach C*-modules is studied. For this aim the notion of modular biweight on a Banach C*-module is introduced. For the particular class of strict pre CQ*-algebras, two different types of representations are investigated.

AlgebraDiscrete mathematicsMathematics::Functional AnalysisClass (set theory)business.industrySettore MAT/05 - Analisi MatematicaGeneral MathematicsRepresentation (systemics)Banach manifoldModular designbusinessRepresentations Banach C*-modules.Mathematics
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Geometric Series in Incomplete Normed Algebras

1984

AlgebraDiscrete mathematicsNormed algebraGeometric seriesGeneral MathematicsMathematicsThe American Mathematical Monthly
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An equivalent definition of the vector-valued McShane integral by means of partitions of unity

2002

An integral for vector-valued functions on a σ-finite outer regular quasi-radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized

AlgebraDiscrete mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsPettisMultiplierMcShane and PoU integralMathematicsStudia Mathematica
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