On regular ring-semigroups and semirings

John Zeleznikow

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 1, page 129-139
  • ISSN: 0010-2628

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Zeleznikow, John. "On regular ring-semigroups and semirings." Commentationes Mathematicae Universitatis Carolinae 025.1 (1984): 129-139. <http://eudml.org/doc/17303>.

@article{Zeleznikow1984,
author = {Zeleznikow, John},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {inverse semigroups; multiplicative semigroup; regular semigroup; semirings; congruences},
language = {eng},
number = {1},
pages = {129-139},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On regular ring-semigroups and semirings},
url = {http://eudml.org/doc/17303},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Zeleznikow, John
TI - On regular ring-semigroups and semirings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 1
SP - 129
EP - 139
LA - eng
KW - inverse semigroups; multiplicative semigroup; regular semigroup; semirings; congruences
UR - http://eudml.org/doc/17303
ER -

References

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  1. A. H. CLIFFORD G. B. PRESTON, The algebraic theory of semigroups, Vol. 1 (American Mathematical Society. Mathematical Surveys 7, (1961). (1961) MR0132791
  2. K. R. GOODEARL D. HANDELBIAN, Simple self-injective rings, Comm. Algebra 3 (9), (1975), 797-834. (1975) MR0379593
  3. M. O. P. GRILLET, Subdivision rings of a semiring, Fund. Math, 67, (1970), 67-74. (1970) Zbl0209.33502MR0262304
  4. M. O. P. GRILLET, Semirings with a completely simple additive semigroup, J. Austral. Math. Soc. 20, (1975), 257-267. (1975) Zbl0316.16039
  5. J. HANNAH J. S. RICHARDSON J. ZELEZNIKOW, Completely semisimple ring-semigroups, J. Austral. Math. Soc. 30, (1975), 150-156. (1975) 
  6. J. M. HOWIE, An introduction to semigroup theory, Academic Press, Inc., London, (1976). (1976) Zbl0355.20056
  7. P. H. KARVELLAS, Inversive semirings, J. Austral. Math. Soc. 18, (1974), 277-287. (1974) Zbl0301.16029
  8. G. LALLEMENT, Demi-groups reguliers, Annali mat. pura. appl. 77, (1967), 47-130. (1967) 
  9. N. H. McCOY, The theory of rings, (Macmillan, New York), (1964). (1964) Zbl0121.03803
  10. M. PETRICH, Rings and semigroups, (Lecture Notes in Mathematics 380, Spгingeг-Veгlag, Berlin, Heidelberg, New York), (1974). (1974) Zbl0278.20068
  11. H. J. WEINERT, On 0-simple semirings, semigroup semirings and two kinds of division semirings, (to appear), (1983). (1983) 
  12. J. ZELEZNIKOW, Orthodox semirings and rings, J. Austral. Math. Soc. 30, (1980), 50-54. (1980) Zbl0447.16031
  13. J. ZELEZNIKOW, Regular semirings, Semigroup forum 23, (1981), 119-136. (1981) Zbl0473.16024

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