Principally Quasi-Injective Semimodules
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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 .
Received 2/1/2018, Accepted 4/4/2019, Published 1/12/2019
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Principally Quasi-Injective Semimodules. Baghdad Sci.J [Internet]. 2019 Dec. 1 [cited 2024 Dec. 24];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 Dec. 24];16(4):0928. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4509