Supplements Related to Normal π -Projective Hypermodules

Burcu Nişancı Türkmen, Hashem Bordbar and Irina Cristea
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Burcu Nişancı Türkmen: Department of Mathematics, Faculty of Art and Science, Amasya University, Ipekköy, Amasya 05100, Turkey
Hashem Bordbar: Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia
Irina Cristea: Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia

Mathematics, 2022, vol. 10, issue 11, 1-15

Abstract: In this study, the role of supplements in Krasner hypermodules is examined and related to normal π -projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients. Moreover, we give characterizations of finitely generated supplemented and amply supplemented Krasner hypermodules. In the second part of the paper we relate the normal projectivity to direct summands and supplements in Krasner hypermodules.

Keywords: direct summand; normal ? -projective hypermodule; supplement subhypermodule; small subhypermodule (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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