Gabriel topology related to Morita context of semirings
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In this paper we introduce the notion of Gabriel topology on semirings as well as on bisemimodules with unities. We also show that there is a lattice isomorphism between the Gabriel topologies on semirings and those on bisemimodules connected via Morita context.
KeywordsPretopology Gabriel topplogy Essential ideal Morita equivalence Morita context
Mathematics Subject Classification16D90 16Y60
- 8.Sardar, S.K., Gupta, S., Saha, B.C.: Morita equivalence of semirings and its connection with Nobusawa \(\Gamma \)-semirings with unities. Algebra Colloq. 22(spec01), 985–1000 (2015)Google Scholar