Reduced near-rings
Szeto, George, Wong, Yuen-Fat (1981)
Portugaliae mathematica
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Displaying similar documents to “Contributions to the theory of (1,1) rings”
Reduced near-rings
Fully idempotent near-rings and sheaf representations.
Ahsan, Javed, Mason, Gordon (1998)
International Journal of Mathematics and Mathematical Sciences
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A Note On A Class Of Noetherian Rings
Ravinder Kumar, Kanchan Manaktala (1975)
Publications de l'Institut Mathématique
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Quotient Rings of Right Noetherian Rings at Semi-Prime Ideals
Gerhard O. Michler (1973)
Publications du Département de mathématiques (Lyon)
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Vanishing power values of commutators with derivations.
Dhara, Basudeb, Sharma, R.K. (2009)
Sibirskij Matematicheskij Zhurnal
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On rings with a unique proper essential right ideal
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...
Real closed rings, I. Residue rings of rings of continuous functions
Gregory Cherlin, Max Dickmann (1986)
Fundamenta Mathematicae
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On rings with zero total.
Beidar, K.I. (1997)
Beiträge zur Algebra und Geometrie
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Erratum to "On rings with a unique proper essential right ideal" (Fund. Math. 183 (2004), 229-244)
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
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Alternative rings in which every proper right ideal is maximal
A. Widiger (1983)
Fundamenta Mathematicae
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Commutativity conditions on derivations and Lie ideals in -prime rings.
Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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Prime Ideals and Prime Radicals in Near-Rings.
G. Birkenmeier, H. Heatherly, E. Lee (1994)
Monatshefte für Mathematik
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Super real closed rings
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...
On essential left ideals of associative rings.
Mendes, D.I.C., Wiegandt, R. (2001)
Mathematica Pannonica
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-Rings and -Porings
Niels Schwartz (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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-rings are commutative rings whose factor rings modulo prime ideals are valuation rings. -rings occur most naturally in connection with partially ordered rings (= porings) and have been studied only in this context so far. The present note first develops the theory of -rings systematically, without assuming the presence of a partial order. Particular attention is paid to the question of axiomatizability (in the sense of model theory). Partially ordered -rings (-porings)...