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21.
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: 1589; Downloads: 0
.pdf Fulltext (355,83 KB)

22.
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: 1629; Downloads: 0
.pdf Fulltext (884,23 KB)

23.
Kawakami, Satoshi; Tsurii, Tatsuya; Yamanaka, Satoe Deformations of finite hypergroups. Sci. Math. Jpn. 79 (2016), no. 2, 113–123
Irina Cristea, 2017, review, book review, critique

Found in: osebi
Keywords: finite hypergroup, deformation
Published: 24.08.2017; Views: 2292; Downloads: 0
.pdf Fulltext (112,71 KB)

24.
Reducibility in hypergroups (crisp and fuzzy case)
Irina Cristea, 2015, published scientific conference contribution

Found in: osebi
Keywords: fundamental relation, reduced hypergroup, fuzzy set
Published: 30.08.2017; Views: 1382; Downloads: 0
.pdf Fulltext (300,72 KB)

25.
Composition in EL-hyperstructures
Michal Novak, Irina Cristea, 2017, original scientific article

Found in: osebi
Keywords: composition hyperring, partially ordered semigroup, hyperstructure
Published: 30.10.2017; Views: 1318; Downloads: 0
.pdf Fulltext (289,60 KB)

26.
Height of Prime Hyperideals in Krasner Hyperrings
Irina Cristea, Hashem Bordbar, 2017, original scientific article

Found in: osebi
Keywords: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Published: 03.01.2018; Views: 1269; Downloads: 0
.pdf Fulltext (257,02 KB)

27.
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: 1133; Downloads: 124
.pdf Fulltext (453,41 KB)

28.
PROPERTIES OF REDUCED MEET IDEALS IN LOWER BCK–SEMILATTICES
Hashem Bordbar, Michal Novak, Irina Cristea, Jun Young Bae, 2018, published scientific conference contribution

Found in: osebi
Keywords: BCK–algebra, ideal, lower BCK–semilattice, relative annihilator
Published: 12.02.2018; Views: 1131; Downloads: 0
.pdf Fulltext (388,89 KB)

29.
Left almost polygroups
Naveed Yaqoob, Irina Cristea, Muhhamad Gulistan, Shah Nawaz, 2018, original scientific article

Abstract: In this introductory note we define the concept of left almost polygroup and provide several examples. We also discuss the quotient structure and isomorphism theorems for left almost polygroups.
Found in: osebi
Keywords: left almost polygroup, direct product, hyperorder, homomorphism
Published: 28.03.2018; Views: 1473; Downloads: 0
.pdf Fulltext (210,91 KB)

30.
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