Classification of bernstein algebras of type (3, n - 3)
Titel:
Classification of bernstein algebras of type (3, n - 3)
Auteur:
Gonzalez, S. Gutierrez, J. C. Martinez, C.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 23 (1995) nr. 1 pagina's 201-213
Jaar:
1995
Inhoud:
A classification of Bernstein algebras in dimensions n ≤ 4 has been made by Holgate in [2], however that article contains no classification up to isomorphism, the problem is solved by Lyubich in [4] when K = R or C, and by Cortes [1] in the general case. Also Lyubich has given in [5] a classification of the regular nonexceptional Bernstein algebra of type (3,n-3) and a classification but not up to isomorphism of nonregular nonexceptional Bernstein algebras of type (3,n - 3) when K = C. The aim of this paper it to characterize, up to isomorphism, Bernstein algebras of type(2, n - 2) and nonexceptional of type(3, n -3) over a infinite commutative field K whose characteristic is different from 2.