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Title: Commutative semigroup rings which are principal ideal rings (English)
Author: Glastad, Bruce
Author: Hopkins, Glenn
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 21
Issue: 2
Year: 1980
Pages: 371-377
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Category: math
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MSC: 13C05
MSC: 13F10
MSC: 16S34
MSC: 20M14
MSC: 20M25
idZBL: Zbl 0453.13010
idMR: MR580691
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Date available: 2008-06-05T21:04:53Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106003
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Reference: [1] Iain T. ADAMSOH: Rings, Modules, and Algebras.Hafner Publishing Company, New Yoгk, 1971.
Reference: [2] L. BUDACH: Struktur Noetherscher kommutativer Halbgruppen.Monatsb. Deutsch. Akad. Wiss., Berlin 6 (1964), 85-88. Zbl 0123.01802, MR 0166281
Reference: [3] A. H. CLIFFORD G. B. PRESTON: The Algebraic Theory of Semigroups.American Mathematical Society, Providence, Rhode Island, 1961. MR 0132791
Reference: [4] James L. FISHER, Sudarshan K. SEHGAL: Principal ideal group rings.Communications in Algebra 4 (1976), 319-325. MR 0396653
Reference: [5] R. GRIMER: Multiplicative Ideal Theory.Marcel-Dekker, New York, 1972. MR 0427289
Reference: [6] R. GILMER T. PARKER: Divisibility properties of semigroup rings.Michigan Math. J. 21 (1974), 65-86. MR 0342635
Reference: [7] R. GILMER T. PARKER: Semigroup rings as Prufer rings.Duke Math. J. 41 (1974), 219-230. MR 0340458
Reference: [8] R. GILMER, Mark L. TEPLY: Idempotents of commutative semigroup rings.Houston Journal of Math. 3 (1977), 369-385. MR 0466206
Reference: [9] I. N. HERSTEIN: Noncommutative Rings.Math. Association of America, 1958. MR 1449137
Reference: [10] Hideyuki MATSUMURA: Commutative Algebra.W. A. Benjamin, Inc., New York, 1970. MR 0266911
Reference: [11] Masayoshi NAGATA: Local Rings.Interscience Publishers New York, 1962. MR 0155856
Reference: [12] Tom PARKER: The Semigroup Ring.Dissertation, Florida State University, 1973.
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