Two-dimensional real division algebras revisited.
Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Flaut, Cristina (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Karim, Driss (2003)
Beiträge zur Algebra und Geometrie
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A. F. Ber, Vladimir I. Chilin, Fyodor A. Sukochev (2006)
Extracta Mathematicae
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Necessary and sufficient conditions are given for a (complete) commutative algebra that is regular in the sense of von Neumann to have a non-zero derivation. In particular, it is shown that there exist non-zero derivations on the algebra L(M) of all measurable operators affiliated with a commutative von Neumann algebra M, whose Boolean algebra of projections is not atomic. Such derivations are not continuous with respect to measure convergence. In the classical setting of the algebra...
Kunz, Ernst, Waldi, Rolf (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Mazorchuk, Volodymyr (2001)
AMA. Algebra Montpellier Announcements [electronic only]
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Guo, Xuejun, Kuku, Aderemi (2006)
Beiträge zur Algebra und Geometrie
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Bhattacharjee, D. (1999)
Georgian Mathematical Journal
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Maria-Angeles Zurro (1998)
Banach Center Publications
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The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.
Sarawut Phuapong, Sorasak Leeratanavalee (2011)
Matematički Vesnik
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Łojasiewicz, Stanisław, Maszczyk, Tomasz, Rusek, Kamil (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Becher, Karim Johannes, Hoffmann, Detlev W. (2004)
Homology, Homotopy and Applications
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A. L. Barrenechea, C. C. Pena (2005)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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