Ideals of Identities of Associative Algebras
Aleksandr Robertovich Kemer
This book concerns the study of the structure of identities of PI-algebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitely-generated superalgebras. The second chapter examines graded identities of finitely-generated PI-superalgebras. One of the results proved concerns the decomposition of T-ideals, which is very useful for the study of specific varieties. In the fifth section of Chapter Two, the author solves Specht's problem, which asks whether every associative algebra over a field of characteristic zero has a finite basis of identities. The book closes with an application of methods and results established earlier: the author finds asymptotic bases of identities of algebras with unity satisfying all of the identities of the full algebra of matrices of order two.
Catégories:
Volume:
87
Année:
1991
Editeur::
American Mathematical Society
Langue:
english
Pages:
90
ISBN 10:
0821845489
ISBN 13:
9780821845486
Collection:
Translations of Mathematical Monographs
Fichier:
DJVU, 827 KB
IPFS:
,
english, 1991