A note on generalized primary rings
R. Chaudhuri (1976)
Matematički Vesnik
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R. Chaudhuri (1976)
Matematički Vesnik
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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Keune, Frans (1996)
Documenta Mathematica
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Michał Kowalski (1976)
Annales Polonici Mathematici
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Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
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J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
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Marcus Tressl (2007)
Fundamenta Mathematicae
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A super real closed ring is a commutative ring equipped with the operation of all continuous functions ℝⁿ → ℝ. Examples are rings of continuous functions and super real fields attached to z-prime ideals in the sense of Dales and Woodin. We prove that super real closed rings which are fields are an elementary class of real closed fields which carry all o-minimal expansions of the real field in a natural way. The main part of the paper develops the commutative algebra of super real closed...
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)
Fundamenta Mathematicae
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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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Piotr Jędrzejewicz (2011)
Colloquium Mathematicae
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We observe that the characterization of rings of constants of derivations in characteristic zero as algebraically closed subrings also holds in positive characteristic after some natural adaptation. We also present a characterization of such rings in terms of maximality in some families of rings.
M. Seiß, F. Spahn (2011)
Mathematical Modelling of Natural Phenomena
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The space missions Voyager and Cassini together with earthbound observations revealed a wealth of structures in Saturn’s rings. There are, for example, waves being excited at ring positions which are in orbital resonance with Saturn’s moons. Other structures can be assigned to embedded moons like empty gaps, moon induced wakes or S-shaped propeller features. Furthermore, irregular radial structures are observed in the range from 10 meters until kilometers. Here some of these structures...
Christan U. Jensen, Soren Jondrup (1973)
Mathematische Zeitschrift
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Kazimierz Szymiczek (1987)
Colloquium Mathematicae
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K.M. RANGASWAMY (1970/71)
Mathematische Annalen
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Manfred Dugas, Shalom Feigelstock (2003)
Colloquium Mathematicae
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A ring R is called an E-ring if every endomorphism of R⁺, the additive group of R, is multiplication on the left by an element of R. This is a well known notion in the theory of abelian groups. We want to change the "E" as in endomorphisms to an "A" as in automorphisms: We define a ring to be an A-ring if every automorphism of R⁺ is multiplication on the left by some element of R. We show that many torsion-free finite rank (tffr) A-rings are actually E-rings. While we have an example...
Seth WARNER (1994)
Forum mathematicum
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