Results 191 to 200 of about 4,561 (232)
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Czechoslovak Mathematical Journal, 2002
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Czechoslovak Mathematical Journal, 2007
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Journal of Geometry, 2003
Let \(X\) be the set of points and lines of the Euclidean (or hyperbolic or elliptic) plane. It is well known that each element \(x\) of \(X\) determines a unique reflection, say \(\tilde x\). Hence one can define a product by putting \(\tilde y\cdot \tilde x:=\tilde y\circ \tilde x\circ \tilde y\).
H. HOTJE, S. PIANTA, ZIZIOLI, Elena
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Let \(X\) be the set of points and lines of the Euclidean (or hyperbolic or elliptic) plane. It is well known that each element \(x\) of \(X\) determines a unique reflection, say \(\tilde x\). Hence one can define a product by putting \(\tilde y\cdot \tilde x:=\tilde y\circ \tilde x\circ \tilde y\).
H. HOTJE, S. PIANTA, ZIZIOLI, Elena
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Proceedings of the London Mathematical Society, 1972
Introduction In a previous paper ([1]) we showed how a fibration of groupoids gave rise to a six-term exact sequence (three terms of which were groups and three were sets) and that this exact sequence included the bottom end of the topologists' exact sequence of a fibration of spaces, and also in the non-abelian cohomology of a group 0 the six-term ...
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Introduction In a previous paper ([1]) we showed how a fibration of groupoids gave rise to a six-term exact sequence (three terms of which were groups and three were sets) and that this exact sequence included the bottom end of the topologists' exact sequence of a fibration of spaces, and also in the non-abelian cohomology of a group 0 the six-term ...
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International Journal of Mathematics, 1995
Some important properties of Poisson groupoids are discussed. In particular, we obtain a useful formula for the Poisson tensor of an arbitrary Poisson groupoid, which generalizes the well-known multiplicativity condition for Poisson groups. Morphisms between Poisson groupoids and between Lie bialgebroids are also discussed.
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Some important properties of Poisson groupoids are discussed. In particular, we obtain a useful formula for the Poisson tensor of an arbitrary Poisson groupoid, which generalizes the well-known multiplicativity condition for Poisson groups. Morphisms between Poisson groupoids and between Lie bialgebroids are also discussed.
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Communications in Contemporary Mathematics, 2010
In this note, we extend the idea of G-Frobenius algebras (G-FAs) for G a finite group to the case where G is replaced by a finite groupoid. These new structures, which we call groupoid Frobenius algebras, have twists that are entirely analogous to the universal G-FA twists by Z2(G, k×).
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In this note, we extend the idea of G-Frobenius algebras (G-FAs) for G a finite group to the case where G is replaced by a finite groupoid. These new structures, which we call groupoid Frobenius algebras, have twists that are entirely analogous to the universal G-FA twists by Z2(G, k×).
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Semigroup Forum, 1998
Let \(F\) be a field, let \(G\) be a groupoid and let \(FG\) be a corresponding groupoid algebra. The author proves the following interesting theorems. There exists a groupoid \(H\) containing \(G\) as a subgroupoid and such that \(FH\) has three right ideals only.
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Let \(F\) be a field, let \(G\) be a groupoid and let \(FG\) be a corresponding groupoid algebra. The author proves the following interesting theorems. There exists a groupoid \(H\) containing \(G\) as a subgroupoid and such that \(FH\) has three right ideals only.
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Divisibility Groupoids – Again
Results in Mathematics, 2010The paper deals with problems around residuation and divisibility. Five different topics are considered, each of them discussed within a section which could be considered as a paper in its own right. The author gives in detail contributions to Jakubík chains, to states, to hoops and rings, to GMV-algebras and, finally, to constructing divisibility ...
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2013
The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complet, detailed proofs, and a large number of examples and counterexamples are provided.
Mitrea, Dorina +3 more
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The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complet, detailed proofs, and a large number of examples and counterexamples are provided.
Mitrea, Dorina +3 more
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