Results 11 to 20 of about 111,956 (116)
Local systems in simple finitary lie algebras
Communications in Algebra, 2000 A Lie subalgebra L of glk(V) is said to be finitary if it consists of elements of finite rank. We show that every simple finitary Lie algebra over a field of characteristic ≠2, 3, 5, 7 has a local system consisting of perfect central extensions of finite-dimensional simple Lie algebras.
Leinen F
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Finitely Presentable Algebras For Finitary Monads
Theory and Applications of Categories, 2019 For finitary regular monads T on locally finitely presentable categories we characterize the finitely presentable objects in the category of T-algebras in the style known from general algebra: they are precisely the algebras presentable by finitely many generators and finitely many relations.
Adámek, Jiří +3 more
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Strongly Finitary Monads for Varieties of Quantitative Algebras. [PDF]
, 2023 Quantitative algebras are algebras enriched in the category Met of metric spaces or UMet of ultrametric spaces so that all operations are nonexpanding. Mardare, Plotkin and Panangaden introduced varieties (aka 1-basic varieties) as classes of quantitative algebras presented by quantitative equations.
Adámek, Jiří +2 more
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Finitary Incidence Algebras [PDF]
Communications in Algebra, 2009 8 pages ...
Khripchenko, N. S., Novikov, B. V.
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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
core +4 more sources
A new foundation for finitary corecursion and iterative algebras [PDF]
Information and Computation, 2020 This paper contributes to a theory of the behaviour of "finite-state" systems that is generic in the system type. We propose that such systems are modelled as coalgebras with a finitely generated carrier for an endofunctor on a locally finitely presentable category.
Stefan Milius +2 more
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Algebraic cocompleteness and finitary functors
Logical Methods in Computer Science, 2021 A number of categories is presented that are algebraically complete and cocomplete, i.e., every endofunctor has an initial algebra and a terminal coalgebra. For all finitary (and, more generally, all precontinuous) set functors the initial algebra and terminal coalgebra are proved to carry a canonical partial order with the same ideal CPO-completion ...
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Jordan isomorphisms of finitary incidence algebras [PDF]
Linear and Multilinear Algebra, 2017 Revised
Rosali Brusamarello +2 more
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GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS [PDF]
International Journal of Algebra and Computation, 2012 We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of characteristic different from 2.
Yuri A. Bahturin +2 more
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Lie-type derivations of finitary incidence algebras [PDF]
Rocky Mountain Journal of Mathematics, 2020 Let $P$ be an arbitrary partially ordered set, $R$ a commutative ring with identity and $FI(P,R)$ the finitary incidence algebra of $P$ over $R$. Under some natural assumption on $R$, we prove that each Lie-type derivation of $FI(P,R)$ is proper.
Khrypchenko, Mykola, Wei, Feng
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