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2 Results Found

  • Article
  • Open Access
6 Citations
2,698 Views
16 Pages

A Hyperstructural Approach to Semisimplicity

  • Ergül Türkmen,
  • Burcu Nİşancı Türkmen and
  • Hashem Bordbar

25 January 2024

In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M),·) is a group, where End(M) is the set of all normal endomorphisms of M. We prove that every simple hypermodul...

(This article belongs to the Section Algebra and Number Theory)
  • Article
  • Open Access
2 Citations
2,459 Views
11 Pages

A Characterization of Normal Injective and Normal Projective Hypermodules

  • Ergül Türkmen,
  • Burcu Nİşancı Türkmen and
  • Hashem Bordbar

18 June 2024

This study is motivated by the recently published papers on normal injective and normal projective hypermodules. We provide a new characterization of the normal injective and normal projective hypermodules by using the splitting of the short exact se...

(This article belongs to the Section Algebra and Number Theory)