Torsion Elements and Torsionable Hypermodules

Hashem Bordbar ()
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Hashem Bordbar: Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia

Mathematics, 2023, vol. 11, issue 21, 1-11

Abstract: This article is motivated by the recently published studies on divisible hypermodules and falls in the area of hypercompositional algebra. In particular, it focuses on the torsion elements in Krasner hypermodules. First, we define the concept of a torsion element over a hypermodule, and based on it, we introduce a new class of hypermodules, namely the torsionable hypermodule. After investigating some of their fundamental properties, we will show that the class of torsionable hypermodules is a subclass of the class of divisible hypermodules. Finally, we present the relationships between divisible, torsionable, and normal injective hypermodules.

Keywords: hypermodules; zero divisors; torsion elements; torsionable hypermodules; normal injective hypermodules (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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