TENSOR HOMOLOGICAL MINIMAL ALGEBRAS, GLOBAL DIMENSION OF THE TENSOR PRODUCT OF ALGEBRAS AND OF GENERALIZED WEYL ALGEBRAS

Authors
BAVULA V
Citation
V. Bavula, TENSOR HOMOLOGICAL MINIMAL ALGEBRAS, GLOBAL DIMENSION OF THE TENSOR PRODUCT OF ALGEBRAS AND OF GENERALIZED WEYL ALGEBRAS, Bulletin des sciences mathematiques, 120(3), 1996, pp. 293-335
Citations number
30
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin des sciences mathematiques → ACNP
ISSN journal
00074497
Volume
120
Issue
3
Year of publication
1996
Pages
293 - 335
Database
ISI
SICI code
0007-4497(1996)120:3<293:THMAGD>2.0.ZU;2-#
Abstract
Let d be the left homological dimension or weak dimension. In the pres ent paper, we give for a large class of algebras the answer to the que stion: When the dimension of the tensor product of algebras is the sum of dimensions of the multiples, d(Lambda(1) x ... x Lambda(n)) = d La mbda(1) + ... + d Lambda(n). Tensor d-minimal algebras are introduced and it is proved that a large class of algebras are tensor d-minimal a lgebras.