Ideals in distributive posets

• Autorzy: Cyndyma Batueva , Marina Semenova
• Języki publikacji: EN

Abstrakty

EN

We prove that any ideal in a distributive (relative to a certain completion) poset is an intersection of prime ideals. Besides that, we give a characterization of n-normal meet semilattices with zero, thus generalizing a known result for lattices with zero.

Słowa kluczowe

EN

Poset; Ideal; Prime ideal; Distributive; Normal; Completion

Kategorie tematyczne

• 06B05: Structure theory
• 06B10: Ideals, congruence relations
• 06A11: Algebraic aspects of posets
• 06A12: Semilattices
• 06A06: Partial order, general

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1380-1388

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Cyndyma Batueva

• Novosibirsk State University

autor

Marina Semenova

Bibliografia

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• [12] Halaš R., Joshi V., Kharat V.S., On n-normal posets, Cent. Eur. J. Math., 2010, 8(5), 985–991 http://dx.doi.org/10.2478/s11533-010-0062-z
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Identyfikatory

DOI

10.2478/s11533-011-0075-2