منابع مشابه
Algebras, Dialgebras, and Polynomial Identities *
This is a survey of some recent developments in the theory of associative and nonassociative dialgebras, with an emphasis on polynomial identities and multilinear operations. We discuss associative, Lie, Jordan, and alternative algebras, and the corresponding dialgebras; the KP algorithm for converting identities for algebras into identities for dialgebras; the BSO algorithm for converting oper...
متن کاملStructure of Leavitt path algebras of polynomial growth.
We determine the structure of Leavitt path algebras of polynomial growth and discuss their automorphisms and involutions.
متن کاملSome Relational Structures with Polynomial Growth and Their Associated Algebras
The profile of a relational structure R is the function φR which counts for every integer n the number, possibly infinite, φR(n) of substructures of R induced on the n-element subsets, isomorphic substructures being identified. If φR takes only finite values, this is the Hilbert function of a graded algebra associated with R, the age algebra K.A(R), introduced by P. J. Cameron. In this paper, w...
متن کاملPolynomial super-gl(n) algebras
We introduce a class of finite dimensional nonlinear superalgebras L = L0 + L1 providing gradings of L0 = gl(n) ' sl(n) + gl(1). Odd generators close by anticommutation on polynomials (of degree > 1) in the gl(n) generators. Specifically, we investigate ‘type I’ super-gl(n) algebras, having odd generators transforming in a single irreducible representation of gl(n) together with its contragredi...
متن کاملDerived Equivalence Classification of Symmetric Algebras of Polynomial Growth
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. Introduction and the main result Throughout the article, K will denote a fixed algebraically closed field. By an algebra is meant an associati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1987
ISSN: 0002-9947
DOI: 10.2307/2000356