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Some multiplicative properties of complete ideals
Authors:
H. T. Muhly and M. Sakuma
Journal:
Trans. Amer. Math. Soc. 106 (1963), 210-221
MSC:
Primary 13.20; Secondary 13.95
MathSciNet review:
0144926
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Nathan
Jacobson, Lectures in Abstract Algebra. Vol. I. Basic
Concepts, D. Van Nostrand Co., Inc., Toronto, New York, London, 1951.
MR
0041102 (12,794c)
- [2]
Wolfgang
Krull, Beiträge zur Arithmetik kommutativer
Integritätsbereiche, Math. Z. 41 (1936),
no. 1, 545–577 (German). MR
1545640, http://dx.doi.org/10.1007/BF01180441
- [3]
Motoyoshi
Sakuma, On prime operations in the theory of ideals, J. Sci.
Hiroshima Univ. Ser. A 20 (1956/1957), 101–106. MR 0094337
(20 #855)
- [4]
Oscar
Zariski and Pierre
Samuel, Commutative algebra. Vol. II, The University Series in
Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.
J.-Toronto-London-New York, 1960. MR 0120249
(22 #11006)
- [5]
Oscar
Zariski, The reduction of the singularities of an algebraic
surface, Ann. of Math. (2) 40 (1939), 639–689.
MR
0000159 (1,26d)
- [6]
Oscar
Zariski, A new proof of Hilbert’s
Nullstellensatz, Bull. Amer. Math. Soc. 53 (1947), 362–368.
MR
0020075 (8,499g), http://dx.doi.org/10.1090/S0002-9904-1947-08801-7
- [1]
- N. Jacobson, Lectures in abstract algebra, Vol. I, Van Nostrand, New York, 1951. MR 0041102 (12:794c)
- [2]
- W. Krull, Beitrage zur Arithmetic kommutativer Integritatsbereiche, I. Math. Z. 41 (1936), 545-577. MR 1545640
- [3]
- M. Sakuma, On prime operations in the theory of ideals, J. Sci. Hiroshima Univ. Ser. A 20 (1957), 101-106. MR 0094337 (20:855)
- [4]
- O. Zariski and P. Samuel, Commutative algebra, Vol. II, Van Nostrand, Princeton, N.J., 1961. MR 0120249 (22:11006)
- [5]
- O. Zariski, Reduction of the singularities of an algebraic surface, Ann. of Math. (2) 40 (1939), 639-689. MR 0000159 (1:26d)
- [6]
- -, A new proof of Hilbert's Nullstellensatz, Bull. Amer. Math. Soc. 53 (1947), 362-368. MR 0020075 (8:499g)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1963-0144926-7
PII:
S 0002-9947(1963)0144926-7
Article copyright:
© Copyright 1963 American Mathematical Society
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