Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
Similarity:
We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
Thomas C. Craven (1981)
Mathematische Zeitschrift
Similarity:
Gaël Collinet (2016)
Acta Arithmetica
Similarity:
We prove that in a ring of S-integers containing 1/2, any totally positive element is a sum of five squares. We also exhibit examples of such rings where some totally positive elements cannot be written as the sum of four squares.
R. Chaudhuri (1976)
Matematički Vesnik
Similarity:
Marcus Tressl (2007)
Fundamenta Mathematicae
Similarity:
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...
Keune, Frans (1996)
Documenta Mathematica
Similarity:
Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
Similarity:
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)
Fundamenta Mathematicae
Similarity:
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...
Michał Kowalski (1976)
Annales Polonici Mathematici
Similarity:
Piotr Jędrzejewicz (2011)
Colloquium Mathematicae
Similarity:
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
Similarity:
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...
Manfred Dugas, Shalom Feigelstock (2003)
Colloquium Mathematicae
Similarity:
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...
J. C. Robson (1973)
Publications du Département de mathématiques (Lyon)
Similarity:
Beidar, K.I. (1997)
Beiträge zur Algebra und Geometrie
Similarity:
Bell, Howard E., Klein, Abraham A. (2010)
Beiträge zur Algebra und Geometrie
Similarity:
Bakkari, Chahrazade, Mahdou, Najib (2009)
Beiträge zur Algebra und Geometrie
Similarity:
Chen, Weixing (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity: