# Article

 Title: A note on principal ideals and $\Cal J$-classes in the direct product of two semigroups (English) Author: Fabrici, Imrich Language: English Journal: Czechoslovak Mathematical Journal ISSN: 0011-4642 (print) ISSN: 1572-9141 (online) Volume: 50 Issue: 1 Year: 2000 Pages: 91-98 . Category: math . MSC: 20M12 idZBL: Zbl 1038.20043 idMR: MR1745463 . Date available: 2009-09-24T10:30:29Z Last updated: 2020-07-03 Stable URL: http://hdl.handle.net/10338.dmlcz/127552 . Reference: [1] Clifford A.H., Preston G.B.: The Algebraic Theory of Semigroups.Amer. Math. Soc., Providence I (1961). MR 0132791 Reference: [2] Fabrici I.: Principal two-sided ideals in the direct product of two semigroups.Czechoslovak Math. J. 41 (1991), 411–421. Zbl 0751.20043, MR 1117794 Reference: [3] Fabrici I.: $\mathcal J$-classes in the direct product of two semigroups.Czechoslovak Math. J. 44 (1994), 325–335. MR 1281027 Reference: [4] Fabrici I.: One-sided principal ideals in the direct product of two semigroups.Math. Bohem. 4 (1993), 337–342. Zbl 0810.20043, MR 1251880 Reference: [5] Tamura T.: Note on finite semigroups and determination of semigroups of order 4.J.  Gakugei, Tokushima Univ. 5 (1954), 17–28. MR 0069813 .

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