Mathematics (Jun 2022)

Supplements Related to Normal <i>π</i>-Projective Hypermodules

  • Burcu Nişancı Türkmen,
  • Hashem Bordbar,
  • Irina Cristea

DOI
https://doi.org/10.3390/math10111945
Journal volume & issue
Vol. 10, no. 11
p. 1945

Abstract

Read online

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