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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
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Category: math
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MSC: 20M10
idZBL: Zbl 0361.20062
idMR: MR0439960
DOI: 10.21136/CMJ.1977.101446
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Date available: 2008-06-09T14:21:45Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101446
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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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