Erratum to: "C(X) vs. C(X) modulo its socle" (Colloq. Math. 111 (2008), 315-336)
F. Azarpanah, O. A. S. Karamzadeh, S. Rahmati (2015)
Colloquium Mathematicae
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F. Azarpanah, O. A. S. Karamzadeh, S. Rahmati (2015)
Colloquium Mathematicae
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Thomas Grill, Manfred Knebusch, Marcus Tressl (2002)
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C. de Boor (2006)
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Mourrain [Mo] characterizes those linear projectors on a finite-dimensional polynomial space that can be extended to an ideal projector, i.e., a projector on polynomials whose kernel is an ideal. This is important in the construction of normal form algorithms for a polynomial ideal. Mourrain's characterization requires the polynomial space to be 'connected to 1', a condition that is implied by D-invariance in case the polynomial space is spanned by monomials. We give examples to show...
Piotr Kalemba (2015)
Open Mathematics
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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).
Chen, Huanyin, Chen, Miaosen (2003)
International Journal of Mathematics and Mathematical Sciences
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Fundamenta Mathematicae
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Karim Samei (2006)
Fundamenta Mathematicae
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In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal)...
Bod'a, E., Jašková, D. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Fundamenta Mathematicae
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Boďa, E., Fernbauer, R. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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