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1.
HEIGHT OF HYPERIDEALS IN NOETHERIAN KRASNER HYPERRINGS
Hashem 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: 2720; Downloads: 0
.pdf Fulltext (138,31 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: 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: 2355; 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: 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: 2302; Downloads: 0
.pdf Fulltext (355,83 KB)

4.
Overview on the height of a hyperideal in Krasner hyperrings
Hashem Bordbar, Irina Cristea, Michal Novak, 2017, published scientific conference contribution abstract

Found in: ključnih besedah
Summary of found: ...Krasner hyperring, prime hyperideal, Noetherian hyperring...
Keywords: Krasner hyperring, prime hyperideal, Noetherian hyperring
Published: 30.08.2017; Views: 2104; Downloads: 0
.pdf Fulltext (1,59 MB)

5.
Composition in EL-hyperstructures
Michal Novak, Irina Cristea, 2017, original scientific article

Found in: ključnih besedah
Summary of found: ...composition hyperring, partially ordered semigroup, hyperstructure...
Keywords: composition hyperring, partially ordered semigroup, hyperstructure
Published: 30.10.2017; Views: 2098; Downloads: 0
.pdf Fulltext (289,60 KB)

6.
Height of Prime Hyperideals in Krasner Hyperrings
Irina 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: 2009; Downloads: 0
.pdf Fulltext (257,02 KB)

7.
Fundamental relation on m-idempotent hyperrings
Morteza Norouzi, Irina Cristea, 2017, original scientific article

Found in: ključnih besedah
Summary of found: ... Hyperring, m-idempotent, Strongly regular relation...
Keywords: Hyperring, m-idempotent, Strongly regular relation
Published: 16.01.2018; Views: 1835; Downloads: 146
.pdf Fulltext (453,41 KB)

8.
How to define tensor products of hypermodules
Irina Cristea, Sanja Jančić-Rašović, Sohrab Ostadhadi-Dehkordi, 2018, published scientific conference contribution

Found in: ključnih besedah
Summary of found: ... hyperring, hypermodule, tensor product...
Keywords: hyperring, hypermodule, tensor product
Published: 11.07.2018; Views: 1680; Downloads: 0
.pdf Fulltext (95,64 KB)

9.
Transitivity of the ε m -relation on ( m -idempotent) hyperrings
Morteza Norouzi, Irina Cristea, 2018, original scientific article

Found in: ključnih besedah
Summary of found: ... Hyperring, m-idempotent hyperring, m-complete part...
Keywords: Hyperring, m-idempotent hyperring, m-complete part
Published: 27.08.2018; Views: 1685; Downloads: 98
.pdf Fulltext (491,93 KB)

10.
A note on the support of a hypermodule
Hashem 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: 1713; Downloads: 0
.pdf Fulltext (320,12 KB)

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