Geodesic
Commutative semigroup rings which are principal ideal rings
Commentationes Mathematicae Universitatis Carolinae, Tome 21 (1980) no. 2, pp. 371-377 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 13C05, 13F10, 16S34, 20M14, 20M25 
@article{CMUC_1980_21_2_a14,
     author = {Glastad, Bruce and Hopkins, Glenn},
     title = {Commutative semigroup rings which are principal ideal rings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {371--377},
     year = {1980},
     volume = {21},
     number = {2},
     mrnumber = {580691},
     zbl = {0453.13010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1980_21_2_a14/}
}
TY  - JOUR
AU  - Glastad, Bruce
AU  - Hopkins, Glenn
TI  - Commutative semigroup rings which are principal ideal rings
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1980
SP  - 371
EP  - 377
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1980_21_2_a14/
LA  - en
ID  - CMUC_1980_21_2_a14
ER  - 
%0 Journal Article
%A Glastad, Bruce
%A Hopkins, Glenn
%T Commutative semigroup rings which are principal ideal rings
%J Commentationes Mathematicae Universitatis Carolinae
%D 1980
%P 371-377
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1980_21_2_a14/
%G en
%F CMUC_1980_21_2_a14
Glastad, Bruce; Hopkins, Glenn. Commutative semigroup rings which are principal ideal rings. Commentationes Mathematicae Universitatis Carolinae, Tome 21 (1980) no. 2, pp. 371-377. http://geodesic.mathdoc.fr/item/CMUC_1980_21_2_a14/

[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 | Zbl

[3] A. H. CLIFFORD G. B. PRESTON: The Algebraic Theory of Semigroups. American Mathematical Society, Providence, Rhode Island, 1961. | MR

[4] James L. FISHER, Sudarshan K. SEHGAL: Principal ideal group rings. Communications in Algebra 4 (1976), 319-325. | MR

[5] R. GRIMER: Multiplicative Ideal Theory. Marcel-Dekker, New York, 1972. | MR

[6] R. GILMER T. PARKER: Divisibility properties of semigroup rings. Michigan Math. J. 21 (1974), 65-86. | MR

[7] R. GILMER T. PARKER: Semigroup rings as Prufer rings. Duke Math. J. 41 (1974), 219-230. | MR

[8] R. GILMER, Mark L. TEPLY: Idempotents of commutative semigroup rings. Houston Journal of Math. 3 (1977), 369-385. | MR

[9] I. N. HERSTEIN: Noncommutative Rings. Math. Association of America, 1958. | MR

[10] Hideyuki MATSUMURA: Commutative Algebra. W. A. Benjamin, Inc., New York, 1970. | MR

[11] Masayoshi NAGATA: Local Rings. Interscience Publishers New York, 1962. | MR

[12] Tom PARKER: The Semigroup Ring. Dissertation, Florida State University, 1973.