Geodesic
Matlis’ semi-regularity in trivial ring extensions of integral domains
Khalid Adarbeh 1   ; Salah Kabbaj 2
1 Department of Mathematics An-Najah National University Nablus, Palestine
2 Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia
Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 229-241 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm7032-12-2016
Keywords: paper contributes study homological aspects trivial ring extensions called nagata idealizations namely investigate transfer notion matlis semi regular ring known if ring along related concepts coherence trivial ring extensions integral domains along paper provide families examples subject semi regularity

Khalid Adarbeh  1   ; Salah Kabbaj  2

1 Department of Mathematics An-Najah National University Nablus, Palestine
2 Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia 
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Khalid Adarbeh; Salah Kabbaj. Matlis’ semi-regularity in trivial ring extensions of integral domains. Colloquium Mathematicum, Tome 150 (2017) no. 2, pp. 229-241. doi: 10.4064/cm7032-12-2016

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