On the normality of generalized mixed product ideals
type: Item
instance of: scholarly article
title: On the normality of generalized mixed product ideals
zbMATH Open document ID: 1445.13014
author: Roya Moghimipor
published in: Archiv der Mathematik
publication date: 2020-07-03T00:00:00Z
review text: Let \(K\) be a field, \(S=K[X_1,\dots,X_n], I\subsetneq S\) be a monomial ideal and \(L\) be the generalized mixed product ideal induced by \(I.\)The author studies first the unmixedness of \(L\) giving several situations in which this happens. The second task is to study the normality of \(L\) and he shows that \(L\) is normal if and only if \(I\) is normal.
reviewed by: Cristodor-Paul Ionescu
Mathematics Subject Classification ID: 13C13
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 13B22
zbMATH DE Number: 7217590
zbMATH Keywords: monomial ideal
zbMATH Keywords: unmixed ideal
zbMATH Keywords: normal ideal
MaRDI profile type: Publication
full work available at URL: s00013-020-01447-2
OpenAlex ID: W3012228594
cites work: Expansions of monomial ideals and multigraded modules
cites work: \(M\)-sequences, graph ideals, and ladder ideals of linear type
cites work: On complete monomial ideals
cites work: Generalized mixed product ideals
cites work: On some invariants of a mixed product of ideals
cites work: Some algebraic invariants related to mixed product ideals
cites work: Algebraic and homological properties of generalized mixed product ideals
cites work: Q4964817
cites work: ON THE NORMALITY OF MONOMIAL IDEALS OF MIXED PRODUCTS
cites work: Betti numbers of mixed product ideals
cites work: Monomial Algebras
DOI: 10.1007/S00013-020-01447-2
Recommended article: ON THE NORMALITY OF MONOMIAL IDEALS OF MIXED PRODUCTS
Recommended article: Generalized mixed product ideals
Recommended article: Algebraic and homological properties of generalized mixed product ideals
Recommended article: On some invariants of a mixed product of ideals
Recommended article: Q5687445
Recommended article: Q5113510
Recommended article: Normal ideals in generalized almost distributive lattices
Recommended article: Q4021553
Recommended article: Q3487451
Recommended article: Q4918433
description: scientific article; zbMATH DE number 7217590