Hostname: page-component-77c89778f8-m8s7h Total loading time: 0 Render date: 2024-07-16T17:29:21.731Z Has data issue: false hasContentIssue false
  • English
  • Français

On Stratifications of Derived Module Categories

Published online by Cambridge University Press:  20 November 2018

Alfred Wiedemann
Alfred Wiedemann*
Affiliation:
Mathematisches Institut B der Universitàt Stuttgart Federal Republic of Germany
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Some structural results about quotients and tensor products of hereditary respectively quasi-hereditary algebras are presented. They are related to properties of stratifications of derived module categories. The concept of derived-simplicity for an algebra is introduced and studied.

Keywords

16A4516A90.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 2 , 01 June 1991 , pp. 275 - 280
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Cline, E., Parshall, B. and Scott, L. L., Algebraic stratification in representation categories, J. Algebra 117 (1989), 504–521.Google Scholar
2. Dlab, V. and C. M. Ringel, Quasi-hereditary algebras, Illinois J. Math. 33 (1989), 280–291.Google Scholar
3. Happel, D., A family of algebras with two simple modules, Preprint.Google Scholar
4. Parshall, B. and Scott, L. L., Derived categories, quasi-hereditary algebras, and algebraic groups, Proc. of the Ottawa-Moosonee Workshop in Algebra 1987, Math. Lecture Note Series, Carleton University and Université d'Ottawa (1988), pp. 1–105.Google Scholar
5. Rickard, J., Morita theory for derived categories, J. London Math. Soc, (2) 39 (1989), 436–456.Google Scholar
6. Scott, L. L., Simulating algebraic geometry with algebra, I: The algebraic theory of derived categories, Proc. Symp. Pure Math. 47 (1987), 271–281.Google Scholar