Results 11 to 20 of about 3,653,792 (195)
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jakubík, Ján
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Algebras for parameterised monads [PDF]
, 2009 Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Atkey, Robert
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Dilation theory for rank two graph algebras. [PDF]
, 2010 An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian +2 more
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]
, 2012 It is shown that Golod–Shafarevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Smoktunowicz, Agata
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Advances in Mathematics, 2021 A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are generated by a computer and some new theoretical results are proved. One of them is the cyclicity of the Jordan operad.
Kashuba, Iryna, Mathieu, Olivier
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Free Brace Algebras are Free Pre-Lie Algebras [PDF]
Communications in Algebra, 2010 Let g be a free brace algebra. This structure implies that g is also a prelie algebra and a Lie algebra. It is already known that g is a free Lie algebra. We prove here that g is also a free prelie algebra, using a description of g with the help of planar rooted trees, a permutative product, and anipulations on the Poincaré-Hilbert series of g.
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
Canadian Mathematical Bulletin, 2010 AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
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