Results 11 to 20 of about 25,354 (185)
On Monomial Golod Ideals [PDF]
Acta Mathematica Vietnamica, 2020 AbstractWe study ideal-theoretic conditions for a monomial ideal to be Golod. For ideals in a polynomial ring in three variables, our criteria give a complete characterization. Over such rings, we show that the product of two monomial ideals is Golod.
Dao H., De Stefani A.
openaire +5 more sources
Klyachko Diagrams of Monomial Ideals
Algebras and Representation Theory, 2022 AbstractIn this paper, we introduce the notion of a Klyachko diagram for a monomial ideal I in a certain multi-graded polynomial ring, namely the Cox ring R of a smooth complete toric variety, with irrelevant maximal ideal B. We present procedures to compute the Klyachko diagram of I from its monomial generators, and to retrieve the B −saturation Isat ...
Rosa M. Miró-Roig, Marti Salat-Moltó
openaire +4 more sources
Monomial difference ideals [PDF]
Proceedings of the American Mathematical Society, 2016 In this paper, basic properties of monomial difference ideals are studied. We prove the finitely generated property of well-mixed difference ideals generated by monomials. Furthermore, a finite prime decomposition of radical well-mixed monomial difference ideals is given.
openaire +2 more sources
Orderings of monomial ideals [PDF]
Fundamenta Mathematicae, 2004 We study the set of monomial ideals in a polynomial ring as an ordered set, with the ordering given by reverse inclusion. We give a short proof of the fact that every antichain of monomial ideals is finite. Then we investigate ordinal invariants for the complexity of this ordered set.
Aschenbrenner, Matthias, Pong, Wai Yan
openaire +2 more sources
Communications in Algebra, 2000 We show how to lift any monomial ideal J in n variables to a saturated ideal I of the same codimension in n+t variables. We show that I has the same graded Betti numbers as J and we show how to obtain the matrices for the resolution of I. The cohomology of I is described.
Migliore, Juan C., Nagel, Uwe
openaire +2 more sources
Monomial ideals via square-free monomial ideals [PDF]
, 2005 Corrected Statement of Corollary 2.6 (took one statement out)
openaire +3 more sources
Journal of Commutative Algebra, 2014 15 pages, 4 ...
Clark, Timothy B.P., Mapes, Sonja
openaire +4 more sources
Multiplier ideals of monomial ideals [PDF]
Transactions of the American Mathematical Society, 2001 In this note we discuss a simple algebraic calculation of the multiplier ideal associated to a monomial ideal in affine n n -space. We indicate how this result allows one to compute not only the multiplier ideal but also the log canonical threshold of an ideal in terms of its Newton polygon.
openaire +3 more sources
On hereditary irreducibility of some monomial matrices over local rings
Karpatsʹkì Matematičnì Publìkacìï, 2021 We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
doaj +1 more source