Results 151 to 160 of about 25,379 (179)
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Monomial ideals with tiny squares and Freiman ideals
Czechoslovak Mathematical Journal, 2021Throughout this paper, let \(K\) be a field and \(R=K[x,y]\) a polynomial ring over \(K\) with two variables. For a monomial ideal \(I\) of \(R\), let \(\mu(I)\) be the number of the least monomial generators. In the paper, the authors provide a construction of monomial ideals \(I\) such that \(\mu(I^2)
Al-Ayyoub, Ibrahim, Nasernejad, Mehrdad
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Manuscripta Mathematica, 1979
The paper concerns itself with generating sets for monomial Gorenstein ideals in polynomial rings k[x1,..., xr], k an arbitrary field. For r=5 it is shown that for a certain class of these ideals, the number of generators is bounded by 13. To establish the sharpness of this bound an algorithm is established, to obtain all numerical symmetric semigroups
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The paper concerns itself with generating sets for monomial Gorenstein ideals in polynomial rings k[x1,..., xr], k an arbitrary field. For r=5 it is shown that for a certain class of these ideals, the number of generators is bounded by 13. To establish the sharpness of this bound an algorithm is established, to obtain all numerical symmetric semigroups
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Associated radical ideals of monomial ideals
Communications in Algebra, 2018AbstractAlgebraic and combinatorial properties of a monomial ideal are studied in terms of its associated radical ideals. In particular, we present some applications to the symbolic powers of square-free monomial ideals.
Raheleh Jafari, Hossein Sabzrou
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2018
In this chapter, we apply some of the operations of Appendix A to monomial ideals. We have already seen this theme for sums and products in Exercises 1.3.12 and 1.3.13. In Section 2.1 we show, for instance, that intersections of monomial ideals are monomial ideals.
W. Frank Moore +2 more
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In this chapter, we apply some of the operations of Appendix A to monomial ideals. We have already seen this theme for sums and products in Exercises 1.3.12 and 1.3.13. In Section 2.1 we show, for instance, that intersections of monomial ideals are monomial ideals.
W. Frank Moore +2 more
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ON THE STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION
Bulletin of the Korean Mathematical Society, 2008Yang-Hi Lee
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Sobolev and isoperimetric inequalities with monomial weights
Journal of Differential Equations, 2013Xavier Cabré, Xavier Ros-Oton
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The Gorenstein-projective modules over a monomial algebra
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2018Guodong Zhou
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