1. HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGSHashem Bordbar, Irina Cristea, Michal Novak, 2017, original scientific article Abstract: Inspired by the classical concept of height of a prime ideal in a ring, we proposed in a precedent paper the notion of height of a prime hyperideal in a Krasner hyperring. In this note we first generalize some results concerning the height of a prime hyperideal in a Noetherian Krasner hyperring, with the intent to extend this definition to the case of a general hyperideal in a such hyperring. The main results in this note show that, in a commutative Noetherian Krasner hyperring, the height of a minimal prime hyperideal over a proper hyperideal generated by n elements is less than or equal to n, the converse of this claim being also true. Based on this result, it can be proved that the height of such a prime hyperideal is limited by the height of a corresponding quotient hyperideal.
Found in: ključnih besedah
Summary of found: ...of a prime hyperideal in a Krasner hyperring. In this note we first generalize some...
Keywords: Krasner hyperring, prime/maximalhyperideal, Noetherian hyperring, height of a prime hyperideal
Published: 01.06.2017; Views: 3653; Downloads: 0
 Fulltext (138,31 KB) |
2. A note on composition (m,n)-hyperringsIrina 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: ključnih besedah
Summary of found: ...the concepts of composition ring and composition hyperring, in this note we introduce the notion...
Keywords: n-hypergroup, (m, n)-hyperring, composition hyperideal
Published: 13.07.2017; Views: 3198; Downloads: 0
Fulltext (884,23 KB) |
3. Hyperrings with n -ary composition hyperoperationMorteza 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: ključnih besedah
Summary of found: ...the concepts of composition ring and composition hyperring, in this note we introduce the notion...
Keywords: n-ary hypergroup, (m, n)-hyperring, composition hyperring, n-ary composition hyperideal
Published: 10.07.2017; Views: 3139; Downloads: 0
Fulltext (355,83 KB) |
4. |
5. |
6. Height of Prime Hyperideals in Krasner HyperringsIrina Cristea, Hashem Bordbar, 2017, original scientific article Found in: ključnih besedah
Summary of found: ... hyperring, prime/maximal hyperideal, dimension of a hyperring, height...
Keywords: hyperring, prime/maximal hyperideal, dimension of a hyperring, height of a prime hyperideal
Published: 03.01.2018; Views: 2847; Downloads: 0
Fulltext (257,02 KB) |
7. |
8. |
9. |
10. A note on the support of a hypermoduleHashem Bordbar, Michal Novak, Irina Cristea, 2020, original scientific article Found in: ključnih besedah
Summary of found: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, annihilator of hypermodules, support of hypermodules
Published: 28.02.2019; Views: 2511; Downloads: 0
Fulltext (320,12 KB) |
