A study of graded extremal rings and of monominal rings.
Ralf Fröberg (1982)
Mathematica Scandinavica
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Ralf Fröberg (1982)
Mathematica Scandinavica
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R. Chaudhuri (1976)
Matematički Vesnik
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Otto Gerstner (1975)
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Keune, Frans (1996)
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Bondarko, M.V. (2002)
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Kazimierz Szymiczek (1987)
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Marcus Tressl (2007)
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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...
Michał Kowalski (1976)
Annales Polonici Mathematici
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O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
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Carlton J. Maxson (1968)
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Th. Theohari-Apostolidi, H. Vavatsoulas (2007)
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Various results on the induced representations of group rings are extended to modules over strongly group-graded rings. In particular, a proof of the graded version of Mackey's theorem is given.
M. Marshall, L. Walter (1990)
Mathematische Zeitschrift
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Bell, Howard E., Klein, Abraham A. (2010)
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Richard Elman, Jón Kr. Arason, Bill Jacob (1985)
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Lăcrimioara Iancu, Maria S. Pop (2000)
Discussiones Mathematicae - General Algebra and Applications
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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.