Classes of commutative rings characterized by going-up and going-down behavior
David E. Dobbs, Marco Fontana (1982)
Rendiconti del Seminario Matematico della Università di Padova
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David E. Dobbs, Marco Fontana (1982)
Rendiconti del Seminario Matematico della Università di Padova
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Bhat, V.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Andrzej Nowicki (1985)
Acta Universitatis Carolinae. Mathematica et Physica
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Timothy Mellor, Marcus Tressl (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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We show that the property of a spectral space, to be a spectral subspace of the real spectrum of a commutative ring, is not expressible in the infinitary first order language of its defining lattice. This generalises a result of Delzell and Madden which says that not every completely normal spectral space is a real spectrum.
O. D. Artemovych (1999)
Commentationes Mathematicae Universitatis Carolinae
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We characterize left Noetherian rings which have only trivial derivations.