On split-by-nilpotent extensions

Ibrahim Assem, Dan Zacharia

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal. We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations of these properties, such as laura and shod, are also inherited. We also study the relationship between the tilting R-modules and the tilting A-modules.

Original languageEnglish (US)
Pages (from-to)259-275
Number of pages17
JournalColloquium Mathematicum
Volume98
Issue number2
DOIs
StatePublished - 2003

Keywords

  • Quasi-tilted algebras
  • Split algebras
  • Tilted algebras
  • Tilting modules

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'On split-by-nilpotent extensions'. Together they form a unique fingerprint.

Cite this