Commutative semigroup rings which are principal ideal rings

Bruce Glastad; Glenn Hopkins

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 2, page 371-377
  • ISSN: 0010-2628

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Glastad, Bruce, and Hopkins, Glenn. "Commutative semigroup rings which are principal ideal rings." Commentationes Mathematicae Universitatis Carolinae 021.2 (1980): 371-377. <http://eudml.org/doc/17041>.

@article{Glastad1980,
author = {Glastad, Bruce, Hopkins, Glenn},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semi-group ring; principal ideal ring},
language = {eng},
number = {2},
pages = {371-377},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Commutative semigroup rings which are principal ideal rings},
url = {http://eudml.org/doc/17041},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Glastad, Bruce
AU - Hopkins, Glenn
TI - Commutative semigroup rings which are principal ideal rings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 2
SP - 371
EP - 377
LA - eng
KW - semi-group ring; principal ideal ring
UR - http://eudml.org/doc/17041
ER -

References

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  1. Iain T. ADAMSOH, Rings, Modules, and Algebras, Hafner Publishing Company, New Yoгk, 1971. (1971) 
  2. L. BUDACH, Struktur Noetherscher kommutativer Halbgruppen, Monatsb. Deutsch. Akad. Wiss., Berlin 6 (1964), 85-88. (1964) Zbl0123.01802MR0166281
  3. A. H. CLIFFORD G. B. PRESTON, The Algebraic Theory of Semigroups, American Mathematical Society, Providence, Rhode Island, 1961. (1961) MR0132791
  4. James L. FISHER, Sudarshan K. SEHGAL, Principal ideal group rings, Communications in Algebra 4 (1976), 319-325. (1976) MR0396653
  5. R. GRIMER, Multiplicative Ideal Theory, Marcel-Dekker, New York, 1972. (1972) MR0427289
  6. R. GILMER T. PARKER, Divisibility properties of semigroup rings, Michigan Math. J. 21 (1974), 65-86. (1974) MR0342635
  7. R. GILMER T. PARKER, Semigroup rings as Prufer rings, Duke Math. J. 41 (1974), 219-230. (1974) MR0340458
  8. R. GILMER, Mark L. TEPLY, Idempotents of commutative semigroup rings, Houston Journal of Math. 3 (1977), 369-385. (1977) MR0466206
  9. I. N. HERSTEIN, Noncommutative Rings, Math. Association of America, 1958. (1958) MR1449137
  10. Hideyuki MATSUMURA, Commutative Algebra, W. A. Benjamin, Inc., New York, 1970. (1970) MR0266911
  11. Masayoshi NAGATA, Local Rings, Interscience Publishers New York, 1962. (1962) MR0155856
  12. Tom PARKER, The Semigroup Ring, Dissertation, Florida State University, 1973. (1973) 

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