Results 1 to 10 of about 11,738 (194)

Ideals in non-associative universal enveloping algebras of Lie triple systems [PDF]

Forum Mathematicum, 2010
14 ...
Mostovoy, J., Pérez-Izquierdo, J.
core   +4 more sources

Jordan-Lie Inner Ideals of the Orthogonal Lie Algebras

Wasit Journal of Computer and Mathematics Science, 2022
Let  be an associative algebra over a field F of any characteristic with involution *  and let K=skew(A)={a in A|a*=-a} be its corresponding sub-algebra under the Lie product [a,b]=ab-ba for all a,b in A .
Falah Saad Kareem, Hasan M. Shlaka
doaj   +1 more source

KdV hierarchies and quantum Novikov's equations [PDF]

Open Communications in Nonlinear Mathematical Physics
This paper begins with a review of the well-known KdV hierarchy, the $N$-th Novikov equation, and its finite hierarchy in the classical commutative case. This finite hierarchy consists of $N$ compatible integrable polynomial dynamical systems in $\mathbb{
V. M. Buchstaber, A. V. Mikhailov
doaj   +1 more source

Continuity of homomorphisms on pro-nilpotent algebras [PDF]

, 2010
Let V be a variety of not necessarily associative algebras, and A an inverse limit of nilpotent algebras A_i\in V, such that some finitely generated subalgebra S \subseteq A is dense in A under the inverse limit of the discrete topologies on the A_i. A
Bergman, George M.
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Classification of finite dimensional irreducible modules over W-algebras [PDF]

, 2012
Finite W-algebras are certain associative algebras arising in Lie theory. Each W-algebra is constructed from a pair of a semisimple Lie algebra g (our base field is algebraically closed and of characteristic 0) and its nilpotent element e.
Bernstein, Bezrukavnikov, Brundan, Brundan, Carter, Collingwood, Dodd, Gabber, Garfinkle, Goodman, Ivan Losev, Joseph, Losev, Lusztig, Lusztig, Lusztig, McGovern, Ostrik, Victor Ostrik, Vinberg, Wang   +20 more
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Gauge Theories on Open Lie Algebra Non-Commutative Spaces [PDF]

, 2002
It is shown that non-commutative spaces, which are quotients of associative algebras by ideals generated by non-linear relations of a particular type, admit extremely simple formulae for deformed or star products.
A. AGARWAL, Connes A., L. AKANT, Likierski J., Seiberg N.   +4 more
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Associated Prime Ideals in Commutative Algebra

Interdisciplinary Research in Education, 2023
This paper aims to explain how an abstract mathematical object of higher mathematics is learnt and solved the given problem from the pedagogical perspectives resting the explanation based upon the solution of higher mathematical problem in abstract algebra.The purpose is not only to disseminate the solution of the problem but to unfold the learning ...
openaire   +1 more source

Outer partial actions and partial skew group rings [PDF]

, 2014
We extend the classicial notion of an outer action $\alpha$ of a group $G$ on a unital ring $A$ to the case when $\alpha$ is a partial action on ideals, all of which have local units.
Nystedt, Patrik, Öinert, Johan
core   +1 more source

Simple Rings and Degree Maps [PDF]

, 2013
For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicity of B.
Nystedt, Patrik, Öinert, Johan
core   +1 more source

Derived equivalence classification of symmetric algebras of polynomial growth [PDF]

, 2010
We complete the derived equivalence classification of all symmetric algebras of polynomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric algebras of polynomial growth up to derived equivalence ...
Holm, Thorsten, Skowronski, Andrzej
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