Results 21 to 30 of about 296,009 (261)

On Codimension Growth of Finitely Generated Associative Algebras

Advances in Mathematics, 1998
Let \(A\) be a PI-algebra over a field \(F\) of characteristic 0 and let \(c_n(A)\) be the \(n\)-th codimension of (the multilinear polynomial identities of) \(A\), \(n=1,2,\ldots\). Starting in the early 70's when Regev used his exponential bounds of the codimensions to show that the tensor product of two PI-algebras is PI again, a lot of ...
A. Giambruno, M. Zaicev
semanticscholar   +3 more sources

Simple Lie subalgebras of locally finite associative algebras

Journal of Algebra, 2004
A A Baranov
exaly   +2 more sources

Anti-Associative Algebras [PDF]

Journal of Algebra and its Applications, 2022
An anti-associative algebra is a nonassociative algebra whose multiplication satisfies the identity a(bc)+(ab)c=0. Such algebras are nilpotent. We describe the free anti-associative algebras with a finite number of generators.
Elisabeth Remm
semanticscholar   +1 more source

(Co)homology of compatible associative algebras [PDF]

Communications in Algebra, 2021
In this paper, we define and study (co)homology theories of a compatible associative algebra. At first, we construct a new graded Lie algebra whose Maurer-Cartan elements are given by compatible associative structures on a vector space.
T. Chtioui, A. Das, S. Mabrouk
semanticscholar   +1 more source

How to compute the Wedderburn decomposition of a finite-dimensional associative algebra [PDF]

Groups Complex. Cryptol., 2010
This is a survey paper on algorithms that have been developed during the last 25 years for the explicit computation of the structure of an associative algebra of finite dimension over either a finite field or an algebraic number field.
M. Bremner
semanticscholar   +1 more source

Constructive description of monogenic functions in a finite-dimensional commutative associative algebra [PDF]

, 2014
Let 𝔸nm be an arbitrary n-dimensional commutative associative algebra over the field of complex numbers with m idempotents. Let e1 = 1, e2, e3 be elements of 𝔸nm which are linearly independent over the field of real numbers.
V. Shpakivskyi
semanticscholar   +1 more source

Associative algebras for (logarithmic) twisted modules for a vertex operator algebra [PDF]

Transactions of the American Mathematical Society, 2016
We construct two associative algebras from a vertex operator algebra $V$ and a general automorphism $g$ of $V$. The first, called $g$-twisted zero-mode algebra, is a subquotient of what we call $g$-twisted universal enveloping algebra of $V$.
Yi-Zhi Huang, Jinwei Yang
semanticscholar   +1 more source

Jordan-Lie inner ideals of finite dimensional associative algebras [PDF]

Journal of Pure and Applied Algebra, 2016
We study Jordan-Lie inner ideals of finite dimensional associative algebras and the corresponding Lie algebras and prove that they admit Levi decompositions. Moreover, we classify Jordan-Lie inner ideals satisfying a certain minimality condition and show
A. Baranov, H. Shlaka
semanticscholar   +1 more source

Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra [PDF]

Journal of symbolic computation, 2010
In this paper we introduce an algebra embedding @i:K->S from the free associative algebra K generated by a finite or countable set X into the skew monoid ring [email protected][email protected] defined by the commutative polynomial ring P=K[XxN^@?] and ...
R. L. Scala, V. Levandovskyy
semanticscholar   +1 more source

Homotopes of finite-dimensional algebras [PDF]

Communications in Algebra, 2020
In this article, we study homotopes of finite-dimensional algebras (not necessarily, associative). In the case of associative algebras, we study homotopes by the methods of Category theory and give description of the so-called well-tempered elements of ...
I. Zhdanovskiy
semanticscholar   +1 more source