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Title: On regular ring-semigroups and semirings (English)
Author: Zeleznikow, J.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 25
Issue: 1
Year: 1984
Pages: 129-139
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Category: math
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MSC: 16A30
MSC: 16A78
MSC: 16E50
MSC: 16Y60
MSC: 20M25
idZBL: Zbl 0539.16030
idMR: MR749121
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Date available: 2008-06-05T21:17:30Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106284
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Reference: [1] A. H. CLIFFORD G. B. PRESTON: The algebraic theory of semigroups.Vol. 1 (American Mathematical Society. Mathematical Surveys 7, (1961). MR 0132791
Reference: [2] K. R. GOODEARL D. HANDELBIAN: Simple self-injective rings.Comm. Algebra 3 (9), (1975), 797-834. MR 0379593
Reference: [3] M. O. P. GRILLET: Subdivision rings of a semiring.Fund. Math, 67, (1970), 67-74. Zbl 0209.33502, MR 0262304
Reference: [4] M. O. P. GRILLET: Semirings with a completely simple additive semigroup.J. Austral. Math. Soc. 20, (1975), 257-267. Zbl 0316.16039
Reference: [5] J. HANNAH J. S. RICHARDSON J. ZELEZNIKOW: Completely semisimple ring-semigroups.J. Austral. Math. Soc. 30, (1975), 150-156.
Reference: [6] J. M. HOWIE: An introduction to semigroup theory.Academic Press, Inc., London, (1976). Zbl 0355.20056
Reference: [7] P. H. KARVELLAS: Inversive semirings.J. Austral. Math. Soc. 18, (1974), 277-287. Zbl 0301.16029
Reference: [8] G. LALLEMENT: Demi-groups reguliers.Annali mat. pura. appl. 77, (1967), 47-130.
Reference: [9] N. H. McCOY: The theory of rings.(Macmillan, New York), (1964). Zbl 0121.03803
Reference: [10] M. PETRICH: Rings and semigroups.(Lecture Notes in Mathematics 380, Spгingeг-Veгlag, Berlin, Heidelberg, New York), (1974). Zbl 0278.20068
Reference: [11] H. J. WEINERT: On 0-simple semirings, semigroup semirings and two kinds of division semirings.(to appear), (1983).
Reference: [12] J. ZELEZNIKOW: Orthodox semirings and rings.J. Austral. Math. Soc. 30, (1980), 50-54. Zbl 0447.16031
Reference: [13] J. ZELEZNIKOW: Regular semirings.Semigroup forum 23, (1981), 119-136. Zbl 0473.16024
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