Results 101 to 110 of about 111,956 (116)

Locally solvable finitary lie algebras

Communications in Algebra, 1998
A Lie subalgebra L of gl(V) is finitary if L consists of elements of finite rank. We show here that an irreducible finitary algebra with a non-zero abelian ideal is finite dimensional. Additional results require that for some positive integer d, the finitary Lie algebra L be d-bounded; i.e.L has a generating set consisting of elements of rank at most d.
Richard E. Phillips, Jeanne Wald
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Free Finitary Algebras in a Cocomplete Cartesian Closed Category

Canadian Mathematical Bulletin, 1972
In [2] Volger proved that the underlying functor of a category of set-valued models of an r-ary theory has a left adjoint. We want to show that his proof remains valid if instead of set valued models of an r-ary theory models of a finitary theory with values in an arbitrary cocomplete cartesian closed category are considered. As Volger for sets we show
Howlett, C., Schumacher, D.
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Complex finitary simple Lie algebras

Archiv der Mathematik, 1999
Let \(K\) be algebraically closed field of characteristic zero, \(V\) be a vector space over \(K\) and \({\mathfrak {gl}}(V)\) be the Lie algebra of linear transformations of \(V\).
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Integral Classification of Endomorphisms of an Arbitrary Algebra with Finitary Operations

Algebra and Logic
This paper studies \(n\)-groupoids (algebraic structures $(G, f)$ where $G$ is a non-empty set and $f$ is an $n$-ary operation, $n>1$) and their endomorphisms (structure-preserving maps). Building on prior work that classified endomorphisms of \(2\)-groupoids (see Theorem 1 [\textit{A. V. Litavrin}, Proc. Steklov Inst. Math.
openaire   +1 more source

Nonlinear Jordan derivations of finitary incidence algebras

Communications in Algebra, 2023
Yuping Yang
exaly  

Access Suspended

Rocky Mountain Journal of Mathematics, 2020
Feng Wei, Mykola Khrypchenko
exaly  

Locally semisimple and maximal subalgebras of the finitary Lie algebras , , , and

Journal of Algebra, 2009
Ivan Penkov
exaly  

Jordan isomorphisms of finitary incidence algebras

Linear and Multilinear Algebra, 2018
Mykola Khrypchenko, Rosali Brusamarello
exaly  

Lie algebra associated with the group of finitary automorphisms of -adic tree

Journal of Algebra, 2010
C K Gupta
exaly  

Anti-automorphisms and involutions on (finitary) incidence algebras

Linear and Multilinear Algebra, 2012
Rosali Brusamarello
exaly