Results 11 to 20 of about 25,379 (179)
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
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
Monomial s-sequences arising from graph ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2023 Ideals arising from graphs are investigated via s-sequence theory. In particular, the notion of s-sequence for the generators of the edge ideal I(G) of an acyclic graph G is considered for describing the Groebner basis of the relation ideal J of the ...
Maurizio Imbesi, Monica La Barbiera
doaj +1 more source
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
Free Resolutions and Generalized Hamming Weights of Binary Linear Codes
Mathematics, 2022 In this work, we explore the relationship between the graded free resolution of some monomial ideals and the Generalized Hamming Weights (GHWs) of binary codes.
Ignacio García-Marco +3 more
doaj +1 more source
Journal of Commutative Algebra, 2014 15 pages, 4 ...
Clark, Timothy B.P., Mapes, Sonja
openaire +4 more sources
Study and characterization of some classes of polymatroidal ideals
پژوهشهای ریاضی, 2022 Introduction Throughout this paper, we consider monomial ideals of the polynomial ring over a filed. We try to give some properties of the polymatroidal ideals, which are the special class of monomial ideals.
Somayeh Bandari
doaj
Divisors on graphs, Connected flags, and Syzygies [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the binomial and monomial ideals arising from linear equivalence of divisors on graphs from the point of view of Gröbner theory. We give an explicit description of a minimal Gröbner basis for each higher syzygy module.
Fatemeh Mohammadi, Farbod Shokrieh
doaj +1 more source