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1.
Categorical approach of normal injective and torsionable hypermodules
Hashem Bordbar, 2024, objavljeni povzetek znanstvenega prispevka na konferenci

Opis: Inspired by the characterization of injective objects in category theory, our main purpose in this research is to investigate the relationships of di- visible and injective hypermodules with torsion elements and torsionable hypermodules with a category approach. These days, it is extremely tempt- ing to do the research in an Abelian category, so we discuss these topics in an Abelian category. For a Krasner R-hypermodule M, we ex- tend the definition of a zero-divisor element of R to a zero-divisor ele- ment of R over M, and then the definition of divisible R-hypermodule is introduced. Be- sides, the torsion element and torsionable hypermodule are introduced and we show that every torsionable R-hypermodule M is a normal injective, where R is a commutative hyperring.
Ključne besede: hypermodules, hyperrings, normal injective, normal projective
Objavljeno v RUNG: 18.06.2024; Ogledov: 981; Prenosov: 0
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2.
Torsion elements and torsionable hypermodules
Hashem Bordbar, 2023, izvirni znanstveni članek

Opis: 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.
Ključne besede: hypermodules, zero divisors, torsion elements, torsionable hypermodules, normal injective hypermodules
Objavljeno v RUNG: 03.11.2023; Ogledov: 1779; Prenosov: 4
.pdf Celotno besedilo (274,24 KB)
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3.
Regular parameter elements and regular local hyperrings
Hashem Bordbar, Irina Elena Cristea, 2021, izvirni znanstveni članek

Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Objavljeno v RUNG: 27.01.2021; Ogledov: 3748; Prenosov: 93
URL Povezava na celotno besedilo
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4.
A note on the support of a hypermodule
Hashem Bordbar, Michal Novak, Irina Elena Cristea, 2020, izvirni znanstveni članek

Ključne besede: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Objavljeno v RUNG: 28.02.2019; Ogledov: 4277; Prenosov: 0
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