Commutative semigroup rings which are principal ideal rings
Glastad, Bruce ; Hopkins, Glenn
Commentationes Mathematicae Universitatis Carolinae, Tome 021 (1980), p. 371-377 / Harvested from Czech Digital Mathematics Library
Publié le : 1980-01-01
Classification:  13C05,  13F10,  16S34,  20M14,  20M25
@article{106003,
     author = {Bruce Glastad and Glenn Hopkins},
     title = {Commutative semigroup rings which are principal ideal rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {021},
     year = {1980},
     pages = {371-377},
     zbl = {0453.13010},
     mrnumber = {580691},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106003}
}
Glastad, Bruce; Hopkins, Glenn. Commutative semigroup rings which are principal ideal rings. Commentationes Mathematicae Universitatis Carolinae, Tome 021 (1980) pp. 371-377. http://gdmltest.u-ga.fr/item/106003/

Iain T. Adamsoh Rings, Modules, and Algebras, Hafner Publishing Company, New Yoгk, 1971. (1971)

L. Budach Struktur Noetherscher kommutativer Halbgruppen, Monatsb. Deutsch. Akad. Wiss., Berlin 6 (1964), 85-88. (1964) | MR 0166281 | Zbl 0123.01802

A. H. Clifford G. B. Preston The Algebraic Theory of Semigroups, American Mathematical Society, Providence, Rhode Island, 1961. (1961) | MR 0132791

James L. Fisher; Sudarshan K. Sehgal Principal ideal group rings, Communications in Algebra 4 (1976), 319-325. (1976) | MR 0396653

R. Grimer Multiplicative Ideal Theory, Marcel-Dekker, New York, 1972. (1972) | MR 0427289

R. Gilmer T. Parker Divisibility properties of semigroup rings, Michigan Math. J. 21 (1974), 65-86. (1974) | MR 0342635

R. Gilmer T. Parker Semigroup rings as Prufer rings, Duke Math. J. 41 (1974), 219-230. (1974) | MR 0340458

R. Gilmer; Mark L. Teply Idempotents of commutative semigroup rings, Houston Journal of Math. 3 (1977), 369-385. (1977) | MR 0466206

I. N. Herstein Noncommutative Rings, Math. Association of America, 1958. (1958) | MR 1449137

Hideyuki Matsumura Commutative Algebra, W. A. Benjamin, Inc., New York, 1970. (1970) | MR 0266911

Masayoshi Nagata Local Rings, Interscience Publishers New York, 1962. (1962) | MR 0155856

Tom Parker The Semigroup Ring, Dissertation, Florida State University, 1973. (1973)