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http://dx.doi.org/10.4134/BKMS.b180249

ON STRONGLY GORENSTEIN HEREDITARY RINGS  

Hu, Kui (College of Science Southwest University of Science and Technology)
Kim, Hwankoo (Division of Computer and Information Engineering Hoseo University)
Wang, Fanggui (College of Mathematics and Software Science Sichuan Normal University)
Xu, Longyu (College of Science Southwest University of Science and Technology)
Zhou, Dechuan (College of Science Southwest University of Science and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.56, no.2, 2019 , pp. 373-382 More about this Journal
Abstract
In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any ring, the class of SG-projective modules and the class of G-projective modules coincide if and only if the class of SG-projective modules is closed under extension. From this we get that a ring is an SG-hereditary ring if and only if every ideal is G-projective and the class of SG-projective modules is closed under extension. We also give some examples of domains whose ideals are SG-projective.
Keywords
strongly Gorenstein projective module; strongly Gorenstein hereditary ring; strongly Gorenstein Dedekind domain;
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Times Cited By KSCI : 1  (Citation Analysis)
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