A NOTE OIL THE STABLE EQUIVALENCE CONJECTURE

Authors
TANG AP
Citation
Ap. Tang, A NOTE OIL THE STABLE EQUIVALENCE CONJECTURE, Communications in algebra, 24(9), 1996, pp. 2793-2809
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
24
Issue
9
Year of publication
1996
Pages
2793 - 2809
Database
ISI
SICI code
0092-7872(1996)24:9<2793:ANOTSE>2.0.ZU;2-8
Abstract
In this paper, algebras are finite dimensional over an algebraically c losed field k, and modules are k-finite dimensional left modules. We p rove the stable equivalence conjecture for algebras stably equivalent to algebras A with the following conditions: basic, connected and self injective; rad(3)A = 0 but rad(2)A not equal 0; and the separated quiv er Q(Q)(s) of the quiver Q(A) of A consisting of more than two connect ed components.