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Original Articles

Semigroups of Left Quotients—The Layered Approach

Pages 167-185 | Received 01 Aug 2002, Published online: 10 Oct 2011

References

  • Armstrong , S. 1988 . Structure of concordant semigroups . J. Algebra , 118 : 205 – 260 .
  • Clifford , C. P. and Preston , G. B. 1961 . The Algebraic Theory of Semigroups , Mathematical Surveys 7 Vols. 1 and 2 , Providence : Rhode Island: American Mathematical Society .
  • Easdown , D. and Gould , V. A. R. 1996 . Commutative orders . Proc. Royal Soc. Edinburgh , 126A : 1201 – 1216 .
  • Easdown , D. and Gould , V. A. R. 1997 . Cancellative orders . Semigroup Forum , 55 : 185 – 195 .
  • El Qallali , A. and Fountain , J. B. 1981 . Idempotent-connected abundant semigroups . Proc. Roy. Soc. Edinburgh , 91A : 79 – 90 .
  • Fountain , J. B. 1982 . Abundant semigroups . Proc. London Math. Soc. , 44 : 103 – 129 .
  • Fountain , J. B. and Petrich , M. 1986 . Completely 0-simple semigroups of quotients . J. Algebra , 101 : 365 – 402 .
  • Fountain , J. B. and Gould , V. A. R. 2002 . Endomorphisms of relatively free algebras with weak exchange properties . Preprint
  • Fountain , J. B. and Gould , V. A. R. Relatively free algebras with weak exchange properties . J. Australian Math. Soc. , In press
  • Gould , V. A. R. 1986 . Clifford semigroups of left quotients . Glasgow Math. J. , 28 : 181 – 191 .
  • Gould , V. A. R. 1987 . “ Orders in semigroups ” . In Contributions to General Algebra 5 163 – 169 . Wien : Verlag Hölder–Pichler–Tempsky .
  • Gould , V. A. R. 1990 . Left orders in regular ℋ-semigroups II . Glasgow Math. J. , 32 : 95 – 108 .
  • Gould , V. A. R. 1992 . Semigroups of left quotients – the uniqueness problem . Proc. Edinburgh Math. Soc. , 35 : 213 – 226 .
  • Gould , V. A. R. 2003 . Semigroups of left quotients: existence, straightness and locality . J. Algebra , 267 : 514 – 541 .
  • Gould , V. A. R. and Smith , P. M. 2000 . Orders and straight left orders in completely regular semigroups . Monatshefte f. Math. , 131 : 193 – 214 .
  • Howie , J. M. 1995 . Fundamentals of Semigroup Theory Oxford University Press .
  • Smith , P. M. 1990 . Orders in completely regular semigroups. D. Phil. University of York
  • #Communicated by P. Higgins.

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