Open AccessJUST NON COMMUTATIVE VARIETIES OF OPERATOR ALGEBRAS AND RINGS WITH SOME CONDITIONS ON NILPOTENT ELEMENTS
Author(s) -
Yuri N. Mal'cev
Publication year - 1996
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.27.1996.4362
Subject(s) - mathematics , noncommutative geometry , nilpotent , noncommutative ring , commutative property , pure mathematics , associative property , ring (chemistry) , commutative ring , identity (music) , algebra over a field , discrete mathematics , chemistry , physics , organic chemistry , acoustics
In §1 it is given a classification of Just noncommutative varieties of associative over algebras over commutative Jacobson ring with unity. In [1], [4] are given different proofs of the commutativity of a finite ring with central nilpotent elements. In §2 we give generalizations of these results for infinite rings and for the case of Engel identity.