PRESERVING SUBINJECTIVITY DOMAIN OF A MODULE

Mohammad Agung, Indah Emilia Wijayanti, Desi Rahmadani

Abstract


An 𝑅-module 𝑀 is said to be indigent if its subinjectivity domain consists of only an injective module. In this paper, we study some properties of the indigent module. We give some examples of rings which have an indigent module. We also prove that subinjectivity domain of a module is preserved and reflected under equivalence.


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DOI: http://dx.doi.org/10.17977/um055v1i1p37-41

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Copyright (c) 2020 Mohammad Agung, Indah Emilia Wijayanti, Desi Rahmadani

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Jurnal Kajian Matematika dan Aplikasinya
e-ISSN: 2722-7650

Department of Mathematics, FMIPA, Universitas Negeri Malang
Jalan Semarang 5, Malang,
Gedung O-7 (Matematika)
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