Abstract

In this study, the role of supplements in Krasner hypermodules is examined and related to normal p-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 p-projective hypermodule;supplement subhypermodule;small subhypermodule;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UNG - University of Nova Gorica
UDC: 51
COBISS: 110631171 Link will open in a new window
ISSN: 2227-7390
Views: 634
Downloads: 0
Average score: 0 (0 votes)
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Other data

URN: URN:SI:UNG
Type (COBISS): Not categorized
Pages: str. 1-15
Volume: ǂVol. ǂ10
Issue: ǂiss. ǂ11
Chronology: 2022
DOI: 10.3390/math10111945
ID: 15553572
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