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Gabriel topology related to Morita context of semirings

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Abstract

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.

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Notes

  1. In this connection we refer to [3].

  2. In fact pretopology is nothing but the topologizing filter defined in Golan [4].

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, India

    Sujit Kumar Sardar, Krishanu Dey & Sugato Gupta

Authors
  1. Sujit Kumar Sardar
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  2. Krishanu Dey
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  3. Sugato Gupta
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Corresponding author

Correspondence to Sujit Kumar Sardar.

Additional information

Krishanu Dey is a JRF of Govt. of West Bengal, India.

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Sardar, S.K., Dey, K. & Gupta, S. Gabriel topology related to Morita context of semirings. Afr. Mat. 29, 371–381 (2018). https://doi.org/10.1007/s13370-018-0547-7

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  • DOI: https://doi.org/10.1007/s13370-018-0547-7

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