Repository of University of Nova Gorica

Search the repository
A+ | A- | Help | SLO | ENG

Query: search in
search in
search in
search in
* old and bologna study programme

Options:
  Reset


1 - 8 / 8
First pagePrevious page1Next pageLast page
1.
A hyperstructural approach to semisimplicity
Ergül Türkmen, Burcu Nİşancl Türkmen, Hashem Bordbar, 2024, original scientific article

Abstract: 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 hypermodule is normal projective with a zero singular subhypermodule. We also show that the class of semisimple hypermodules is closed under internal direct sums, factor hypermodules, and subhypermodules. In particular, we give a characterization of internal direct sums of subhypermodules of a hypermodule.
Keywords: direct sum, simple hypermodule, semisimple hypermodule
Published in RUNG: 31.01.2024; Views: 220; Downloads: 4
.pdf Full text (328,98 KB)
This document has many files! More...

2.
Regular local hyperrings and hyperdomains
Hashem Bordbar, Irina Elena Cristea, Sanja Rasovic, 2022, original scientific article

Abstract: This paper falls in the area of hypercompositional algebra. In particular, it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings R with a unique maximal hyperideal M having the dimension equal to the dimension of the vectorial hyperspace M. The aim of the paper is to show that any regular local hyperring is a hyperdomain. M2 For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring R and to the quotient hyperring R = R , where a is an element in M \ M2, and of the regularity of R.
Keywords: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Published in RUNG: 27.09.2022; Views: 952; Downloads: 21
.pdf Full text (258,07 KB)

3.
Supplements Related to Normal p-Projective Hypermodules
Burcu Turkmen, Hashem Bordbar, Irina Elena Cristea, 2022, original scientific article

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
Published in RUNG: 06.06.2022; Views: 1184; Downloads: 0
This document has many files! More...

4.
Divisible hypermodules
Hashem Bordbar, Irina Elena Cristea, 2022, original scientific article

Keywords: normal injective hypermodule, zero divisor, divisible hypermodule, canonical hypergroup
Published in RUNG: 11.02.2022; Views: 1626; Downloads: 34
URL Link to full text
This document has many files! More...

5.
About the normal projectivity and injectivity of krasner hypermodules
Hashem Bordbar, Irina Elena Cristea, 2021, original scientific article

Keywords: R-hypermodule, simple hypermodule, exact chain
Published in RUNG: 05.05.2021; Views: 1680; Downloads: 54
URL Link to full text
This document has many files! More...

6.
Some open problems in hypercompositional algebra
Irina Elena Cristea, 2020, published scientific conference contribution abstract (invited lecture)

Keywords: hypergroup, hyperring, hyperfield, hypermodule, dependence relation, fundamental realtion, fuzzy reducibility
Published in RUNG: 23.06.2020; Views: 2565; Downloads: 0
This document has many files! More...

7.
How to define tensor products of hypermodules
Irina Elena Cristea, Sanja Jančić-Rašović, Sohrab Ostadhadi-Dehkordi, 2018, published scientific conference contribution

Keywords: hyperring, hypermodule, tensor product
Published in RUNG: 11.07.2018; Views: 3047; Downloads: 0
This document has many files! More...

8.
A new type of fuzzy subsemihypermodules
Morteza Norouzi, Irina Elena Cristea, 2017, original scientific article

Abstract: In this paper, combining the notions of “belongingness” and “quasi coincidence” of fuzzy points and fuzzy subsets, a new type of fuzzy subsemihypermodules, namely (∝, ⋐k)-fuzzy subsemihypermodules of general hypermodules, is introduced and characterized, using the “max” operator. Their properties and connections with other (α, β)-fuzzy subsemihypermodules are investigated.
Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Published in RUNG: 01.03.2017; Views: 3351; Downloads: 1
This document has many files! More...

Search done in 0.05 sec.
Back to top