Matlis' semi-regularity in trivial ring extensions of integral domains

Khalid Adarbeh, Salah-Eddine Kabbaj

Research output: Contribution to journalJournal articlepeer-review

3 Scopus citations


This paper contributes to the study of homological aspects of trivial ring extensions (also called Nagata idealizations). Namely, we investigate the transfer of the notion of (Matlis') semi-regular ring (also known as IF-ring) along with related concepts, such as coherence, to trivial ring extensions of integral domains. All along the paper, we provide new families of examples subject to semi-regularity.

Original languageEnglish
Pages (from-to)229-241
Number of pages13
JournalColloquium Mathematicum
Issue number2
StatePublished - 2017


  • Coherent ring
  • Idealization
  • IF-ring
  • Quasi-Frobenius ring
  • Semi-regular ring
  • Trivial ring extension
  • Von Neumann regular ring


Dive into the research topics of 'Matlis' semi-regularity in trivial ring extensions of integral domains'. Together they form a unique fingerprint.

Cite this