Regular Rings and Baer Rings.
Ancel C. Mewborn (1971)
Mathematische Zeitschrift
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Ancel C. Mewborn (1971)
Mathematische Zeitschrift
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Laszlo Fuchs, K.M. Rangaswamy (1968)
Mathematische Zeitschrift
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M. Marshall, L. Walter (1990)
Mathematische Zeitschrift
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Carlton J. Maxson (1968)
Mathematische Zeitschrift
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S.K. Jain, Saroj Jain (1971)
Mathematische Zeitschrift
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Nirmala B. Limaye (1971)
Mathematische Zeitschrift
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Eben Matlis (1972)
Mathematische Zeitschrift
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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...
Victoria Powers (1988)
Mathematische Zeitschrift
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Christan U. Jensen, Soren Jondrup (1973)
Mathematische Zeitschrift
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Bondarko, M.V. (2002)
Zapiski Nauchnykh Seminarov POMI
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S. Lajos, F. Szasz (1976)
Matematički Vesnik
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Günter Krause (1970)
Mathematische Zeitschrift
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