The Lifting of determinal prime ideals.
Ngo Viet Trung (1996)
Manuscripta mathematica
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Ngo Viet Trung (1996)
Manuscripta mathematica
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Joseph Kist (1969)
Mathematische Zeitschrift
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Martin Lorenz (1979)
Manuscripta mathematica
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Jan Wójcik (1969)
Colloquium Mathematicae
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John A. Beachy (1981)
Manuscripta mathematica
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K. Divaani-Aazar (2001)
Colloquium Mathematicae
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Primary and secondary functors have been introduced in [2] and applied to extend some results concerning asymptotic prime ideals. In this paper, the theory of primary and secondary functors is developed and examples of non-exact primary and non-exact secondary functors are presented. Also, as an application, the sets of associated and of attached prime ideals of certain modules are determined.
Pieter Moree (1992)
Manuscripta mathematica
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Swapan Kumar Ghosh (2006)
Commentationes Mathematicae Universitatis Carolinae
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A space is called -compact by M. Mandelker if the intersection of all free maximal ideals of coincides with the ring of all functions in with compact support. In this paper we introduce -compact and -compact spaces and we show that a space is -compact if and only if it is both -compact and -compact. We also establish that every space admits a -compactification and a -compactification. Examples and counterexamples are given.
Ronnie Levy, Philippe Loustaunau, Jay Shapiro (1991)
Fundamenta Mathematicae
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Dress, Andreas W.M. (1994)
Beiträge zur Algebra und Geometrie
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Paulo Ribenboim (1986/87)
Manuscripta mathematica
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