Results 31 to 40 of about 1,404 (215)
Regularity of second power of edge ideals
پژوهشهای ریاضی, 2022 Introduction The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
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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.
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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
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On the symmetric algebra of syzygy modules of monomial ideals
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2014 We consider the symmetric algebra of the first syzygy module of a monomial ideal generated by an s-sequence. We introduce on that algebra an admissible term order which allows us to compute its algebraic invariants.
Gaetana Restuccia, Paola Lea Stagliano'
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Generic and Cogeneric Monomial Ideals
Journal of Symbolic Computation, 2000 Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions derived from simplicial complexes. For a generic monomial ideal, the associated primes satisfy a saturated chain condition, and the Cohen-Macaulay property implies shellability for both the Scarf complex and the Stanley ...
Ezra Miller +2 more
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When Is a Graded Free Complex Exact?
Mathematics, 2022 Minimal free resolutions of a finitely generated module over a polynomial ring S=k[x], with variables x={x1,…,xn} and a field k have been extensively studied.
David C. Molano +2 more
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Stanley depth of squarefree Veronese ideals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.
Cimpoeas Mircea
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Monomial ideals via square-free monomial ideals [PDF]
, 2005 Corrected Statement of Corollary 2.6 (took one statement out)
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Linear Maps in Minimal Free Resolutions of Stanley-Reisner Rings
Mathematics, 2019 In this short note we give an elementary description of the linear part of the minimal free resolution of a Stanley-Reisner ring of a simplicial complex Δ .
Lukas Katthän
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On Characteristic Poset and Stanley Decomposition
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets PI/Jg$P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then I/J˜$\widetilde{I/J}$ is also a Stanley ideal, where I/J˜$\widetilde{I/J}$ is the ...
Ahmad Sarfraz +2 more
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