Results 81 to 90 of about 111,956 (116)
Finitary Simple Lie Algebras [PDF]
Journal of Algebra, 1999 Let \(V\) be a vector space over a field \(F\). A subalgebra of \({\mathfrak {gl}}(V)\) is called finitary if it consists of finite-rank transformations. The main theorem presents a classification of infinite dimensional central finitary simple Lie algebras over \(F\) in the case of characteristic zero.
Baranov, A.A.
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Journal of Algebra, 2002 A Lie algebra is called finitary if it consists of finite-rank linear transformations of a vector space. The authors classify all infinite-dimensional finitary simple Lie algebras over an algebraically closed field of characteristic not 2 or 3. They also do the same for finitary irreducible Lie algebras.
Baranov, A.A., Strade, H.
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Poisson structures on finitary incidence algebras [PDF]
Journal of Algebra, 2021 We give a full description of the Poisson structures on the finitary incidence algebra $FI(P,R)$ of an arbitrary poset $P$ over a commutative unital ring $R$.
Mykola Khrypchenko, Ivan Kaygorodov
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Higher Derivations of Finitary Incidence Algebras [PDF]
Algebras and Representation Theory, 2018 Minor ...
Feng Wei +2 more
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Local derivations of finitary incidence algebras [PDF]
Acta Mathematica Hungarica, 2017 Let $P$ be a partially ordered set, $R$ a commutative ring with identity and $FI(P,R)$ the finitary incidence algebra of $P$ over $R$. In this note we prove that each $R$-linear local derivation of $FI(P,R)$ is a derivation, which partially generalizes a result by Nowicki and Nowosad.
Mykola Khrypchenko
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Involutions of the Second Kind on Finitary Incidence Algebras
Bulletin of the Brazilian Mathematical Society, 2023 Let $K$ be a field and $X$ a connected partially ordered set. In the first part of this paper, we show that the finitary incidence algebra $FI(X,K)$ of $X$ over $K$ has an involution of the second kind if and only if $X$ has an involution and $K$ has an automorphism of order $2$. We also give a characterization of the involutions of the second kind on $
Erica Z Fornaroli
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Reduced finitary incidence algebras and their automorphisms
International Journal of Algebra and Computation, 2021Let [Formula: see text] denote the incidence algebra of a locally finite poset [Formula: see text] over a field [Formula: see text] and [Formula: see text] some equivalence relation on the set of generators of [Formula: see text]. Then [Formula: see text] is the subset of [Formula: see text] of all the elements that are constant on the equivalence ...
Manfred Dugas +2 more
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The finitary symplectic and finitary orthogonal Lie sub-algebras of associative algebras
AIP Conference Proceedings, 2023Hasan M. Shlaka, Ali Mohammed
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The Jordan socle and finitary Lie algebras
Journal of Algebra, 2004 The goal of the paper under review is to study simple finitary Lie algebras and their algebras of derivations by using methods from the theory of Jordan systems. (We refer to the paper, which is clearly written, for the relevant definitions.) In a related paper [Commun. Algebra 32, No.
Miguel Gomez Lozano +2 more
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Mathematical Logic Quarterly, 1989
This paper presents a few results on the following imprecise problem: Is it possible to construct a finitely axiomatizable finitary algebraic logic (based upon finitely many finitary operations on relations of finite dimension)? The system \({\mathcal L}^{\times}\) from ``A formalization of set theory without variables'' (1988) by \textit{A.
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This paper presents a few results on the following imprecise problem: Is it possible to construct a finitely axiomatizable finitary algebraic logic (based upon finitely many finitary operations on relations of finite dimension)? The system \({\mathcal L}^{\times}\) from ``A formalization of set theory without variables'' (1988) by \textit{A.
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