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Article

Title: Structure and ideal theory of commutative semigroups (English)
Author: Satyanarayana, M.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 28
Issue: 2
Year: 1978
Pages: 171-180
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Category: math
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MSC: 20M10
idZBL: Zbl 0389.20050
idMR: MR0480802
DOI: 10.21136/CMJ.1978.101524
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Date available: 2008-06-09T14:27:43Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101524
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Reference: [1] Clifford A. H,, and Preston G. В.: The Algebraic Theory of Semigroups.Vol. 1, Amer. Math. Soc. (1961). MR 0132791
Reference: [2] Dorofeeva M. P., Mannepalli V. L., and Satyanarayano M.: Prüfer and Dedekind monoids.Semigroup Forum, 9 (1975), 294-309. MR 0379701, 10.1007/BF02194860
Reference: [3] Grillet P. A.: Intersections of maximal ideals in semigroups.Amer. Math. Monthly, 76 (1969), 503-509. Zbl 0191.01603, MR 0248254, 10.1080/00029890.1969.12000247
Reference: [4] Mannepalli V. L., and Satyanarayana M.: Monoids of Dedekind type.Semigroup Forum, 9 (1974), 19-27. MR 0374299, 10.1007/BF02194830
Reference: [5] Petrich M.: On the structure of a class of commutative semigroups.Czech. Math. Jour., 14 (89) (1964), 147-153. Zbl 0143.03403, MR 0166284
Reference: [6] Satyanarayana M.: A class of commutative semigroups in which the idempotents are linearly ordered.Czech. Math. Jour., 21 (96) (1971), 633-637. Zbl 0228.20045, MR 0289694
Reference: [7] Satyanarayana M.: Commutative primary semigroups.Czech. Math. Jour., 22 (97) (1972), 509-516. Zbl 0248.20072, MR 0308304
Reference: [8] Satyanarayana M.: On left cancellative semigroups.Semigroup Forum, 6 (1973), 317-329. Zbl 0267.20058, MR 0376923, 10.1007/BF02389139
Reference: [9] Satyanarayana M.: On commutative semigroups which are unions of a finite number of principal ideals.to appear in Czech. Math. Jour. Zbl 0361.20062, MR 0439960
Reference: [10] Schwarz Štefan: Prime ideals and maximal ideals in semigroups.Czech. Math. Jour., 19 (94) (1969), 72-79. MR 0237680
Reference: [11] Tamura T.: The study of closets and free contents related to semilattice decompositions of semigroups.Semigroups, edited by K. W. Folley, Academic Press (1969), 221 - 260. MR 0306378
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