TRIANGLES OF MODULES AND NONPOLYNOMIAL GROWTH

Authors
SIMSON D
Citation
D. Simson, TRIANGLES OF MODULES AND NONPOLYNOMIAL GROWTH, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(1), 1995, pp. 33-38
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
1
Year of publication
1995
Pages
33 - 38
Database
ISI
SICI code
0764-4442(1995)321:1<33:TOMANG>2.0.ZU;2-K
Abstract
Let Lambda be a finite-dimensional algebra over an algebraically dosed field. Notions of a triangle and a diamond of Lambda-modules satisfyi ng some orthogonality conditions are introduced and studied in this No te. It is proved that the existence of a triangle or a diamond of Lamb da-modules implies that Lambda is of non-polynomial growth. The conver se is proved for strongly simply connected algebras and for special bi serial directed algebras.