1. A new type of fuzzy subsemihypermodulesMorteza 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.
Found in: ključnih besedah
Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Published: 01.03.2017; Views: 2818; Downloads: 1
 Fulltext (95,71 KB) |
2. |
3. |
4. |
5. |
6. Supplements Related to Normal p-Projective HypermodulesBurcu Turkmen, Hashem Bordbar, Irina 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.
Found in: ključnih besedah
Keywords: direct summand, normal p-projective hypermodule, supplement subhypermodule, small
subhypermodule
Published: 06.06.2022; Views: 510; Downloads: 0
Fulltext (309,59 KB) |
7. Regular local hyperrings and hyperdomainsHashem Bordbar, Irina 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.
Found in: ključnih besedah
Keywords: hyperring, hypermodule, vectorialhyperspace, dimension, regularhyperring, regular parameter element, hyperdomain
Published: 27.09.2022; Views: 320; Downloads: 13
Fulltext (258,07 KB) |
