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: 3652; Downloads: 0
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3. 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) |
4. Regular parameter elements and regular local hyperringsIrina Elena Cristea, Hashem Bordbar, 2021, original scientific article Found in: ključnih besedah
Summary of found: ...Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local...
Keywords: Krasner hyperring, prime/maximal hyperideal, length of hypermodules, regular local hyperring, parameter elements
Published: 27.01.2021; Views: 1574; Downloads: 64
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5. ON HYPERIDEALS OF KRASNER HYPERRINGS BASED ON DERIVED UNITARY RINGSSeyed Mousavi, Morteza Jafarpour, Hojat Babaei, Irina Cristea, 2022, original scientific article Found in: ključnih besedah
Summary of found: ...(Krasner) hyperring, strongly regular relation, λe-closed hy-
perideal....
Keywords: (Krasner) hyperring, strongly regular relation, λe-closed hy-
perideal.
Published: 11.05.2022; Views: 508; Downloads: 0
Fulltext (603,12 KB) |
