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Derived from
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20402094 AL410 - COMMUTATIVE ALGEBRA in Mathematics LM-40 N0 GIROLAMI FLORIDA
(syllabus)
MODULI. IDEALI. ANELLI E MODULI DI FRAZIONI. ANELLI E MODULI NOETHERIANI. DIPENDENZA INTEGRALE. ANELLI DI VALUTAZIONE. DOMINI DI DEDEKIND. ANELLI E MODULI ARTINIANI. SPETTRO PRIMO DI UN ANELLO E TOPOLOGIA DI ZARISKI.
(reference books)
[1] M.F. ATIYAH - I.G. MACDONALD, INTRODUCTION TO COMMUTATIVE ALGEBRA. ADDISON - WESLEY PUBLISHING COMPANY, 1969.
[2] R. GILMER, MULTIPLICATIVE IDEAL THEORY, MARCEL DEKKER,NEW YORK 1972.
[3] D. EISENBUD, COMMUTATIVE ALGEBRA WITH A VIEW TOWARD ALGEBRAIC GEOMETRY. SPRINGER, 1995.
[4] I. KAPLANSKY, COMMUTATIVE RINGS. THE UNIVERSITY OF CHICAGO PRESS, CHICAGO, 1974. REVISED EDITION, POLYGONAL, 1994.
[5] H. MATSUMURA, COMMUTATIVE RING THEORY. CAMBRIDGE UNIVERSITY PRESS, 1994.
[6] R. Y. SHARP, STEPS IN COMMUTATIVE ALGEBRA. LONDON MATHEMATICAL SOCIETY STUDENT TEXTS, 51, CAMBRIDGE UNIVERSITY PRESS, CAMBRIDGE, 2000.
[7] O. ZARISKI AND P. SAMUEL, COMMUTATIVE ALGEBRA, VAN NOSTRAND, 1958-1960 (REPRINTED, SPRINGER 1975-1977)
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Università Roma Tre