Displaying similar documents to “Free Magmas”

Almost free splitters

Rüdiger Göbel, Saharon Shelah (1999)

Colloquium Mathematicae

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Let R be a subring of the rationals. We want to investigate self splitting R-modules G, that is, such that E x t R ( G , G ) = 0 . For simplicity we will call such modules splitters (see [10]). Also other names like stones are used (see a dictionary in Ringel’s paper [8]). Our investigation continues [5]. In [5] we answered an open problem by constructing a large class of splitters. Classical splitters are free modules and torsion-free, algebraically compact ones. In [5] we concentrated on splitters which...

L -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

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We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( f = | w | = l a w λ ( w ) ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.

A Note on Free Quantum Groups

Teodor Banica (2008)

Annales mathématiques Blaise Pascal

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We study the free complexification operation for compact quantum groups, G G c . We prove that, with suitable definitions, this induces a one-to-one correspondence between free orthogonal quantum groups of infinite level, and free unitary quantum groups satisfying G = G c .

Free Interpretation, Quotient Interpretation and Substitution of a Letter with a Term for First Order Languages

Marco Caminati (2011)

Formalized Mathematics

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Fourth of a series of articles laying down the bases for classical first order model theory. This paper supplies a toolkit of constructions to work with languages and interpretations, and results relating them. The free interpretation of a language, having as a universe the set of terms of the language itself, is defined.The quotient of an interpreteation with respect to an equivalence relation is built, and shown to remain an interpretation when the relation respects it. Both the concepts...

Large free set

Kandasamy Muthuvel (1992)

Colloquium Mathematicae

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