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On primary ideals in posets

In: Mathematica Slovaca, vol. 65, no. 6
Vinayak Joshi - Nilesh Mundlik
Detaily:
Rok, strany: 2015, 1237 - 1250
Kľúčové slová:
primary ideal, radical of an ideal, prime ideal, distributive poset, $0$-distributive poset
O článku:
In this paper, we define the concepts of the radical of an ideal and a primary ideal in posets. Further, the analogue of the first and the second uniqueness theorems regarding primary decomposition of an ideal are obtained. In the last section, we prove that if an ideal in a poset $Q$ has a minimal primary decomposition, then the diameter of the corresponding zero-divisor graph with respect to this ideal is exactly equal to three.
Ako citovať:
ISO 690:
Joshi, V., Mundlik, N. 2015. On primary ideals in posets. In Mathematica Slovaca, vol. 65, no.6, pp. 1237-1250. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0085

APA:
Joshi, V., Mundlik, N. (2015). On primary ideals in posets. Mathematica Slovaca, 65(6), 1237-1250. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0085
O vydaní:
Publikované: 1. 12. 2015