| 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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