Results 11 to 20 of about 3,478,615 (190)

Algebras for parameterised monads [PDF]

open access: yes, 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
core   +4 more sources

Dilation theory for rank two graph algebras. [PDF]

open access: yes, 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
core   +4 more sources

Almost nilpotent Lie algebras [PDF]

open access: yes, 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
core   +4 more sources

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

open access: yes, 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
core   +1 more source

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

open access: yes, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li   +5 more
core   +1 more source

Elementary Lie Algebras and Lie A-Algebras. [PDF]

open access: yes, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core   +5 more sources

Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests

open access: yesOpen Mathematics, 2020
In this paper, we decorate leaves and edges of planar rooted forests simultaneously and use a part of them to construct free nonunitary Rota-Baxter family algebras. As a corollary, we obtain the construction of free nonunitary Rota-Baxter algebras.
Wang Jinwei   +3 more
doaj   +1 more source

Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras

open access: yesMathematics, 2017
In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
doaj   +1 more source

Certain Bounds of Formulas in Free Temporal Algebras

open access: yesAxioms, 2023
In this paper, we give a basic structure theorem based on the study of extreme cases for the value of ≺ (the classical precedence relation between ultrafilters), i.e., ≺=∅ and no isolated element in ≺.
Francisco Miguel García-Olmedo   +2 more
doaj   +1 more source

Towards free localic algebras [PDF]

open access: yesCategories and General Algebraic Structures with Applications
The purpose of this paper is to establish that the underlying objectfunctor from the models of a Lawvere theory to the base category creates limitsand coequalisers of all parallel pairs of homomorphisms whose underlying pairadmit a split coequaliser.
Nathan Tshakatumba   +2 more
doaj   +1 more source

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