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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Azzouz Cherrabi, Abderrahim Miri (1999)
Extracta Mathematicae
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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).
Voskoglou, M.G. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Thomas Grill, Manfred Knebusch, Marcus Tressl (2002)
Banach Center Publications
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Karl Heinz Kiyek (1981)
Manuscripta mathematica
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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)...
Scheja, Günter, Storch, Uwe (1996)
Beiträge zur Algebra und Geometrie
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Rosłanowski, Andrzej, Shelah, Saharon (1997)
Journal of Applied Analysis
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Abu Osba, E.A., Al-Ezeh, H. (2001)
International Journal of Mathematics and Mathematical Sciences
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Giuliano Artico, Umberto Marconi, Roberto Moresco (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Henriksen, Melvin (1977)
Portugaliae mathematica
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Xiao Long Xin, Rajab Ali Borzooei, Young Bae Jun (2019)
Bulletin of the Section of Logic
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The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.
Valentina Barucci, Kerstin Petterson (1995)
Manuscripta mathematica
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Chen, Huanyin, Chen, Miaosen (2003)
International Journal of Mathematics and Mathematical Sciences
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