Geodesic
Monomial ideals with primary components given by powers of monomial prime ideals
Jürgen Herzog1 ; Marius Vladoiu2
1Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117, Essen, Germany
2Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, RO-010014, Romania
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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We characterize monomial ideals which are intersections of powers of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.
DOI : 10.37236/3813
Classification : 13C13, 13A30, 13F99, 05E40
Mots-clés : monomial ideals of intersection type, primary decompositions, polymatroidal ideals, edge ideals

Jürgen Herzog  1   ; Marius Vladoiu  2

1 Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117, Essen, Germany
2 Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, Bucharest, RO-010014, Romania 
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     author = {J\"urgen Herzog and Marius Vladoiu},
     title = {Monomial ideals with primary components given by powers of monomial prime ideals},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {1},
     doi = {10.37236/3813},
     zbl = {1307.13014},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3813/}
}
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Jürgen Herzog; Marius Vladoiu. Monomial ideals with primary components given by powers of monomial prime ideals. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3813

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