Results 1 to 10 of about 4,567 (56)
An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
, 2011 The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
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Weak Bialgebras of Fractions [PDF]
, 2012 We construct the algebra of fractions of a Weak Bialgebra relative to a suitable denominator set of group-like elements that is `almost central', a condition we introduce in the present article which is sufficient in order to guarantee existence of the ...
Bennoun, Steve, Pfeiffer, Hendryk
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On the Killing form of Lie Algebras in Symmetric Ribbon Categories [PDF]
, 2015 As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form.
Buchberger, Igor, Fuchs, Jürgen
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, 2008 Many things in mathematics seem lamost unreasonably nice. This includes objects, counterexamples, proofs. In this preprint I discuss many examples of this phenomenon with emphasis on the ring of polynomials in a countably infinite number of variables in ...
Hazewinkel, Michiel
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Recent developments around partial actions
, 2018 We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.Comment: New bibliography added and ...
Dokuchaev, Mikhailo
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Irreducible actions and compressible modules
, 2010 Any finite set of linear operators on an algebra $A$ yields an operator algebra $B$ and a module structure on A, whose endomorphism ring is isomorphic to a subring $A^B$ of certain invariant elements of $A$.
Albuquerque H. +9 more
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Morita base change in Hopf-cyclic (co)homology
, 2012 In this paper, we establish the invariance of cyclic (co)homology of left Hopf algebroids under the change of Morita equivalent base algebras. The classical result on Morita invariance for cyclic homology of associative algebras appears as a special ...
A. Connes +31 more
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Polytopes, Hopf algebras and Quasi-symmetric functions
, 2010 In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group $\mathcal{P}$ generated by all combinatorial polytopes.
Buchstaber, Victor M. +1 more
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A characterisation of Lie algebras amongst anti-commutative algebras
, 2019 Let $\mathbb{K}$ be an infinite field. We prove that if a variety of anti-commutative $\mathbb{K}$-algebras - not necessarily associative, where $xx=0$ is an identity - is locally algebraically cartesian closed, then it must be a variety of Lie algebras ...
García-Martínez, Xabier +1 more
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Tate and Tate-Hochschild Cohomology for finite dimensional Hopf Algebras
, 2013 Let A be any finite dimensional Hopf algebra over a field k. We specify the Tate and Tate-Hochschild cohomology for A and introduce cup products that make them become graded rings. We establish the relationship between these rings.
Nguyen, Van C.
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