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We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.
S. Mandal (1984)
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Henrik Bresinski (1979)
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G. Bennett (1976)
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Luis F. Cáceres-Duque (2003)
Discussiones Mathematicae - General Algebra and Applications
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We give an effective procedure to find minimal bases for ideals of the ring of polynomials over the integers.
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W. Żelazko (2005)
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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
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Zandt, Michael (1995)
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Snellman, Jan (2000)
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W. Żelazko (2006)
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We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.
J. E. Baumgartner, A. D. Taylor, S. Wagon
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CONTENTSPreface.............................................................................................. 5Chapter I. Preliminaries................................................................. 61. Notation and terminology.......................................................... 62. Results from the literature......................................................... 93. Definitions and basic properties.............................................. 11Chapter II. Subnormality and...
Lorenzo Robbiano (1979/80)
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C. Huneke, A. Corso, W. Vasconcelos (1998)
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Aldo Conca, Jürgen Herzog (2003)
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The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely generated graded module M over a polynomial ring R. For instance, it measures the amount of computational resources that working with M requires. In general one knows that the regularity of a module can be doubly exponential in the degrees of the minimal generators and in the number of the variables. On the other hand, in many situations one has or one conjectures a much better behavior. One...