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Article

Title: On ideals of a semilattice (English)
Author: Petrich, Mario
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 22
Issue: 3
Year: 1972
Pages: 361-367
Summary lang: English
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Category: math
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MSC: 06A20
MSC: 20M10
idZBL: Zbl 0251.20065
idMR: MR0310106
DOI: 10.21136/CMJ.1972.101107
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Date available: 2008-06-09T13:57:23Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101107
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Reference: [1] B. Banaschewski: Hüllensysteme und Erweiterung von Quasi-Ordnungen.Zeitschr. math. Logik Grundl. Math. 2 (1956), 117-130. Zbl 0073.26904, MR 0082447, 10.1002/malq.19560020803
Reference: [2] P. Berthiaume: The injective envelope of S-sets.Canad. Math. Bull. 10 (1967), 261-273. Zbl 0149.26103, MR 0213457, 10.4153/CMB-1967-026-1
Reference: [3] G. Birkhoff: Lattice theory.Amer. Math. Soc. Colloq. Publ. Vol. 25, Amer. Math. Soc, Providence, 1948. Zbl 0033.10103, MR 0029876
Reference: [4] G. Bruns: Darstellungen und Erweiterungen geordneter Mengen.I. J. reine angew. Math. 209 (1962), 167-200. Zbl 0148.01202, MR 0143717
Reference: [5] G. Bruns, H. Lakser: Injective hulls of semilattices.Canad. Math. Bull. 13{1 970), 115-118. Zbl 0212.03801, MR 0274372, 10.4153/CMB-1970-023-6
Reference: [6] A. H. Clifford Sind G. B. Preston: The algebraic theory of semigroups.Vol. I, Math. Surveys No. 7, Amer. Math. Soc, Providence, 1961. MR 0132791
Reference: [7] L. M. Gluskin: Ideals of semigroups of transformations.Mat. Sbornik 47 (1959), 111-130 (in Russian). Zbl 0084.02703, MR 0105456
Reference: [8] L. M. Gluskin: Ideals of semigroups.Mat. Sbornik 55 (1961), 421 - 448; Correction: ibid. 73 (1967), 303 (in Russian). Zbl 0106.02001, MR 0139675
Reference: [9] P. A. Grillet, M. Petrich: Ideal extensions of semigroups.Pacific J. Math. 26 (1968), 493-508. Zbl 0169.02901, MR 0237686, 10.2140/pjm.1968.26.493
Reference: [10] M. Kolibiar: Bemerkungen über Translationen der Verbände.Acta Fac. Rer. Nat. Univ. Comenianae Math. 5 (1961), 455-458. Zbl 0113.01901, MR 0132706
Reference: [11] M. Petrich: On extensions of semigroups determined by partial homomorphisms.Nederl. Akad. Wetensch. Indag. 28 (1966), 49-51. Zbl 0136.26601, MR 0197610, 10.1016/S1385-7258(66)50009-9
Reference: [12] G. Szász: Die Translationen der Halbverbände.Acta Sci. Math. Szeged 17 (1956), 165-169. MR 0082471
Reference: [13] G. Szász: Translationen der Verbände.Acta Fac. Rer. Nat. Univ. Comenianae Math. 5 (1961), 449-453. MR 0132705
Reference: [14] G. Szász, J. Szendrei: Über die Translationen der Halbverbände.Acta Sci. Math. Szeged 18 (1957), 44-47. MR 0087667
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