Подалгебры неассоциативных свободных сумм алгебр с произвольной объединенной подалгеброй
Ц.Е. Дидидзе (1961)
Matematiceskij sbornik
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Ц.Е. Дидидзе (1961)
Matematiceskij sbornik
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В.А. Андрунакиевич (1958)
Matematiceskij sbornik
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Stephen U. Chase, Carl Faith (1965)
Mathematische Zeitschrift
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R. Chaudhuri (1976)
Matematički Vesnik
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Roger Yue Chi Ming (1989)
Publications de l'Institut Mathématique
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Michał Kowalski (1976)
Annales Polonici Mathematici
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Otto Gerstner (1975)
Publications mathématiques et informatique de Rennes
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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...
Neal J. Rothman (1966)
Mathematische Zeitschrift
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H.K. Farahat, L. Mirsky (1958)
Mathematische Zeitschrift
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Erwin Kleinfeld (1965)
Mathematische Zeitschrift
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И.Х. Беккер (1999)
Sibirskij matematiceskij zurnal
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Spencer E. Dickson (1965)
Mathematische Zeitschrift
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Keune, Frans (1996)
Documenta Mathematica
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José L. García (2015)
Colloquium Mathematicae
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It was shown in [Colloq. Math. 135 (2014), 227-262] that the pure semisimplicity conjecture (briefly, pssC) can be split into two parts: first, a weak pssC that can be seen as a purely linear algebra condition, related to an embedding of division rings and properties of matrices over those rings; the second part is the assertion that the class of left pure semisimple sporadic rings (ibid.) is empty. In the present article, we characterize the class of left pure semisimple sporadic rings...