| Title:
             | 
On commutative semigroups which are unions of a finite number of principal ideals (English) | 
| Author:
             | 
Satyanarayana, M. | 
| Language:
             | 
English | 
| Journal:
             | 
Czechoslovak Mathematical Journal | 
| ISSN:
             | 
0011-4642 (print) | 
| ISSN:
             | 
1572-9141 (online) | 
| Volume:
             | 
27 | 
| Issue:
             | 
1 | 
| Year:
             | 
1977 | 
| Pages:
             | 
61-68 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
20M10 | 
| idZBL:
             | 
Zbl 0361.20062 | 
| idMR:
             | 
MR0439960 | 
| DOI:
             | 
10.21136/CMJ.1977.101446 | 
| . | 
| Date available:
             | 
2008-06-09T14:21:45Z | 
| Last updated:
             | 
2020-07-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/101446 | 
| . | 
| Reference:
             | 
[1] Bourne S. G.: Ideal theory in a commutative semigroup.Dissertation, John Hopkins University (1949). | 
| Reference:
             | 
[2] Clifford A. H., G. B. Preston: The algebraic theory of semigroups, Volume I.Amer. Math. Soc. (1961). MR 0132791 | 
| Reference:
             | 
[3] Clifford A. H., G. B. Preston: The algebraic theory of semigroups, Volume II.Amer. Math. Soc. (1967). MR 0218472 | 
| Reference:
             | 
[4] Gilmer R.: Commutative rings in which each prime ideal is principal.Math. Ann., Vol. 183 (1969), 151-158. Zbl 0169.05402, MR 0248123, 10.1007/BF01350233 | 
| Reference:
             | 
[5] Levin R. G.: On commutative nonpotent archimedean semigroups.Pacific Jour., Vol. 27 (1968), 365-371. Zbl 0182.34802, MR 0236286, 10.2140/pjm.1968.27.365 | 
| Reference:
             | 
[6] McAlister D. В., L. O'Carroll: Finitely generated commutative semigroups.Glasgow Math. Jour., Vol. 11 (1970), 134-151. Zbl 0246.20054, MR 0269765, 10.1017/S0017089500000987 | 
| Reference:
             | 
[7] Petrich Mario: On the structure of a class of commutative semigroups.Czech. Math. Jour., Vol. 14 (89) (1964), 147-153. MR 0166284 | 
| Reference:
             | 
[8] Satyanarayana M.: On semigroups admitting ring structure.Semigroup Forum, Vol. 3 (1971), 43-50. Zbl 0228.20061, MR 0289695, 10.1007/BF02572940 | 
| Reference:
             | 
[9] Satyanarayana M.: Principal right ideal semigroups.Jour. Lond. Math. Soc. (2), 3 (1971), 549-553. Zbl 0215.11402, MR 0283115, 10.1112/jlms/s2-3.3.549 | 
| Reference:
             | 
[10] Satyanarayana M.: Semigroups with ascending chain condition.Jour. Lond. Math. Soc. (2), 5 (1972), 11-14. Zbl 0241.20049, MR 0297912, 10.1112/jlms/s2-5.1.11 | 
| Reference:
             | 
[11] Zariski O., P. Samuel: Commutative algebra.Volume I, Van Nostrand Company, Inc. (1958). Zbl 0081.26501, MR 0090581 | 
| . |