Principally Quasi-Injective Semimodules

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Aljebory et al.

Abstract

In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules.


      Let  be an -semimodule with endomorphism semiring Ș. The semimodule  is called principally quasi-injective, if every  -homomorphism from any cyclic subsemimodule of  to  can be extended to an endomorphism of .

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Principally Quasi-Injective Semimodules. Baghdad Sci.J [Internet]. 2019 Dec. 1 [cited 2024 Mar. 28];16(4):0928. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509
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How to Cite

1.
Principally Quasi-Injective Semimodules. Baghdad Sci.J [Internet]. 2019 Dec. 1 [cited 2024 Mar. 28];16(4):0928. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509