Title:
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On commutative semigroups which are unions of a finite number of principal ideals (English) |
Author:
|
Satyanarayana, M. |
Language:
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English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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27 |
Issue:
|
1 |
Year:
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1977 |
Pages:
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61-68 |
. |
Category:
|
math |
. |
MSC:
|
20M10 |
idZBL:
|
Zbl 0361.20062 |
idMR:
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MR0439960 |
DOI:
|
10.21136/CMJ.1977.101446 |
. |
Date available:
|
2008-06-09T14:21:45Z |
Last updated:
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2020-07-28 |
Stable URL:
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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 |
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