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Title: Rees ideal algebras (English)
Author: Chajda, Ivan
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 122
Issue: 2
Year: 1997
Pages: 125-130
Summary lang: English
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Category: math
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Summary: We describe algebras and varieties for which every ideal is a kernel of a one-block congruence. (English)
Keyword: ideal
Keyword: Rees congruence
Keyword: one-block congruence
Keyword: Rees algebra
MSC: 08A30
MSC: 08B05
idZBL: Zbl 0889.08004
idMR: MR1460942
DOI: 10.21136/MB.1997.125918
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Date available: 2009-09-24T21:23:55Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/125918
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Reference: [1] Chajda I., Duda J.: Rees algebras and their varieties.Publ. Math. (Debrecen) 32 (1985), 17-22. Zbl 0582.08003, MR 0810586
Reference: [2] Duda J.: Rees sublattices of a lattice.Publ. Math. (Debrecen) 35 (1988), 77-82. Zbl 0657.06010, MR 0971955
Reference: [3] Rees D.: On semigroups.Proc. Cambridge Phil. Soc. 36 (1940), 387-400. MR 0002893
Reference: [4] Szász G.: Rees factor lattices.Publ. Math. (Debrecen) 15 (1968), 259-266. MR 0234876
Reference: [5] Tichy R. F.: The Rees congruences in universal algebras.Publ. Inst. Math. (Beograd) 29 (1981), 229-239. MR 0657112
Reference: [6] Ursini A.: Sulla varietá di algebra con una buona teoria degli ideali.Boll. U. M. I. (4) 6 (1972), 90-95. MR 0314728
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