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1.
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.
Found in: osebi
Keywords: General hypermodule, (∝, ⋐k)-fuzzy subsemihypermodule, (∝, ∝)-fuzzy subsemihypermodule, (∝, qk)-fuzzy subsemihypermodule
Published: 01.03.2017; Views: 2031; Downloads: 1
.pdf Fulltext (95,71 KB)

2.
A note on composition (m,n)-hyperrings
Irina Cristea, Morteza Norouzi, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of composition structure for (m,n)-hyperrings and study the connections with composition hyperrings. Moreover we show that particular strong endomorphisms of (m,n)-hyperrings can determine the composition structure of such (m,n)-hyperrings. Finally, the three isomorphism theorems are presented in the case of composition (m, n)-hyperrings, showing that they are not a pure extension of those for composition hyperrings.
Found in: osebi
Keywords: n-hypergroup, (m, n)-hyperring, composition hyperideal
Published: 13.07.2017; Views: 2326; Downloads: 0
.pdf Fulltext (884,23 KB)

3.
Hyperrings with n -ary composition hyperoperation
Morteza Norouzi, Irina Cristea, 2017, original scientific article

Abstract: Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings. Moreover we show that special strong multiendomorphisms of hyperrings can determine the $n$-ary composition structure of a such hyperring and also a subclass of $n$-ary composition hyperrings. Finally, the three isomorphism theorems are studied in the framework of $n$-ary composition hyperrings.
Found in: osebi
Keywords: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Published: 10.07.2017; Views: 2275; Downloads: 0
.pdf Fulltext (355,83 KB)

4.
Fundamental relation on m-idempotent hyperrings
Morteza Norouzi, Irina Cristea, 2017, original scientific article

Found in: osebi
Keywords: Hyperring, m-idempotent, Strongly regular relation
Published: 16.01.2018; Views: 1813; Downloads: 145
.pdf Fulltext (453,41 KB)

5.
Transitivity of the ε m -relation on ( m -idempotent) hyperrings
Morteza Norouzi, Irina Cristea, 2018, original scientific article

Found in: osebi
Keywords: Hyperring, m-idempotent hyperring, m-complete part
Published: 27.08.2018; Views: 1671; Downloads: 98
.pdf Fulltext (491,93 KB)

6.
The commutative quotient structure of m-idempotent hyperrings
Azam Adineh Zadeh, Morteza Norouzi, Irina Cristea, 2020, original scientific article

Found in: osebi
Keywords: Hyperring, m-idempotent hyperring, strongly regular relation
Published: 18.03.2020; Views: 1076; Downloads: 46
.pdf Fulltext (561,39 KB)

7.
A Comparison of Complete Parts on m-Idempotent Hyperrings
Azam Adineh Zadeh, Morteza Norouzi, Irina Cristea, 2020, original scientific article

Found in: osebi
Keywords: hyperring, m-idempotent hyperring, ξm-parts, ξm-complete hyperrings
Published: 06.04.2020; Views: 993; Downloads: 41
.pdf Fulltext (286,29 KB)

8.
Composition vector spaces as a new type of tri-operational algebras
Irina Elena Cristea, Morteza Norouzi, Omid Reza Dehghan, 2021, original scientific article

Found in: osebi
Keywords: composition vector space, foundation, strong composition subspace, composition linear transformation
Published: 21.09.2021; Views: 138; Downloads: 5
.pdf Fulltext (312,74 KB)
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