On n-normal posets

• Autorzy: Radomír Halaš , Vinayak Joshi , Vilas Kharat
• Języki publikacji: EN

Abstrakty

EN

A poset Q is called n-normal, if its every prime ideal contains at most n minimal prime ideals. In this paper, using the prime ideal theorem for finite ideal distributive posets, some properties and characterizations of n-normal posets are obtained.

Słowa kluczowe

EN

n-normal poset; Distributive poset; Prime ideal; Unique minimal prime ideal; Polar

Kategorie tematyczne

• 06D75: Other generalizations of distributive lattices
• 06B10: Ideals, congruence relations
• 06A11: Algebraic aspects of posets

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 5
• Strony: 985-991

Daty

wydano

2010-10-01

online

2010-09-28

Twórcy

autor

Radomír Halaš

• Palacký University Olomouc

autor

Vinayak Joshi

• University of Pune

autor

Vilas Kharat

• University of Pune

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0062-z