About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Glastad, Bruce ; Hopkins, Glenn
Commutative semigroup rings which are principal ideal rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 2, pp. 371-377
MSC: 13C05, 13F10, 16S34, 20M14, 20M25 | MR 580691 | Zbl 0453.13010
References:
[1] Iain T. ADAMSOH: Rings, Modules, and Algebras. Hafner Publishing Company, New Yoгk, 1971.
[2] L. BUDACH: Struktur Noetherscher kommutativer Halbgruppen. Monatsb. Deutsch. Akad. Wiss., Berlin 6 (1964), 85-88. MR 0166281 | Zbl 0123.01802
[3] A. H. CLIFFORD G. B. PRESTON: The Algebraic Theory of Semigroups. American Mathematical Society, Providence, Rhode Island, 1961. MR 0132791
[4] James L. FISHER, Sudarshan K. SEHGAL: Principal ideal group rings. Communications in Algebra 4 (1976), 319-325. MR 0396653
[5] R. GRIMER: Multiplicative Ideal Theory. Marcel-Dekker, New York, 1972. MR 0427289
[6] R. GILMER T. PARKER: Divisibility properties of semigroup rings. Michigan Math. J. 21 (1974), 65-86. MR 0342635
[7] R. GILMER T. PARKER: Semigroup rings as Prufer rings. Duke Math. J. 41 (1974), 219-230. MR 0340458
[8] R. GILMER, Mark L. TEPLY: Idempotents of commutative semigroup rings. Houston Journal of Math. 3 (1977), 369-385. MR 0466206
[9] I. N. HERSTEIN: Noncommutative Rings. Math. Association of America, 1958. MR 1449137
[10] Hideyuki MATSUMURA: Commutative Algebra. W. A. Benjamin, Inc., New York, 1970. MR 0266911
[11] Masayoshi NAGATA: Local Rings. Interscience Publishers New York, 1962. MR 0155856
[12] Tom PARKER: The Semigroup Ring. Dissertation, Florida State University, 1973.
Partner of
EuDML logo