Fields and Rings (Chicago Lectures in Mathematics) [bad by Irving Kaplansky

By Irving Kaplansky

This ebook combines in a single quantity Irving Kaplansky's lecture notes at the conception of fields, ring conception, and homological dimensions of earrings and modules."In all 3 elements of this e-book the writer lives as much as his acceptance as a prime mathematical stylist. in the course of the paintings the readability and precision of the presentation isn't just a resource of continuing excitement yet will allow the neophyte to grasp the cloth right here provided with dispatch and ease."—A. Rosenberg, Mathematical reports

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CACCIOPPOLI, L'equazione funzionale / (x + y) = F [/ (x), / (y)]. Giorn. Mat. Battaglini 66 (1928), 69—74. E. PICARD, Lecons sur quelques equations fonctionnelles avec des appli­ cations a divers problemes d'analyse et de la physique mathematique. Paris 1928. R. SATO, A Study of Functional Equations. Proc. Phys. Math. Soc. Japan (3) 10 (1928), 212—222. Bibliography 33 1929 A. OSTROWSKI, Mathematische Miszellen, XIV. Ober die Funktionalgleichung der Exponentialfunktion und verwandte Funktionalgleichungen.

Math. Soc. 16 ( 1 9 6 5 ) , 683—686. S. KOTZ, On the solutions of some "isomoment" functional equations. Amer. Math. Monthly 72 ( 1 9 6 5 ) , 1072—1075. S. TOPA, On a Generalization of Homogeneous Functions. Publicationes Math. Debrecen 13 ( 1 9 6 6 ) , 289—300. Z. DAROCZY — L. LOSONCZI, Ober die Erweiterung der auf einer Punktmenge additiven Funktionen, Publ. Math. Debrecen 14 ( 1 9 6 7 ) , 239—245.

PEXIDER, Notiz iiber Funktionaltheoreme. Monatsh. Math. Phys. 14 (1903), 293—301. C . STEPHANOS, Sur une categorie d'equations fonctionnelles. Rendiconti Circ. Mat. Palermo 18 (1904), 360—362. G. HAMEL, Eine Basis aller Zahlen und die unstetigen Losungen der Funktionalgleichung / (x + y) = / (x) + / (y). Math. Ann. 60 (1905), 459—462. J . L. W. V. JENSEN, Sur les fonctions convexes et les dnegalites entre les valeurs moyennes. Acta. Math. 30 (1906), 1 7 9 — 1 9 1 . T . LEVI-CIVITA, Sulle funzioni che ammettono una formula d'addizione del tipo / (x + y) = 2 1Xi (x) Yi (y).

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