zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Infinite dimensional Novikov algebras of characteristic O. (English) Zbl 0814.17002
An algebra is called Novikov if it satisfies the identities (x,y,z)=(y,x,z) and (xy)z=(xz)y. Let A be a simple infinite-dimensional Novikov algebra over the field F of characteristic 0, where each element of F has an n-th root in F for every positive integer n. If A has an element e with the properties e 2 =be for some bF, and A= α A α ' where A α ' ={xA(L e -(α+b)) n x=0 for some n}, then the author shows that A has to belong to one of three very specific classes. He then finds the derivations of these algebras, discusses when two of these algebras can be isomorphic, and proves three results relating two of these classes to concepts developed in a forthcoming joint paper with E. I. Zelmanov [Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations, J. Pure Appl. Algebra].

17A30Nonassociative algebras satisfying other identities