63
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On Presentations of Bruck–Reilly Extensions

Pages 2871-2886 | Received 27 Jun 2006, Published online: 23 Jul 2009

REFERENCES

  • Araújo , I. M. ( 2000 ). Presentations for Semigroup Constructions and Related Computational Methods . Ph.D. thesis , University of St Andrews , Scotland .
  • Araújo , I. M. ( 2002 ). Finite presentability of semigroup constructions . Internat. J. Algebra Comput. 12 ( 1–2 ): 19 – 31 .
  • Araújo , I. M. , Branco , M. J. J. , Fernandes , V. H. , Gomes , G. M. S. , Ruškuc , N. ( 2001 ). On generators and relations for unions of semigroups . Semigroup Forum 63 ( 1 ): 49 – 62 .
  • Araújo , I. M. , Ru[sbreve]kuc , N. ( 2001 ). Finite presentability of Bruck-Reilly extensions of groups . J. Algebra 242 ( 1 ): 20 – 30 .
  • Baumslag , G. ( 1962 ). A remark on generalized free products . Proc. Amer. Math. Soc. 13 : 53 – 54 .
  • Bruck , R. H. ( 1958 ). A Survey of Binary Systems . Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie . Berlin : Springer Verlag .
  • Carvalho , C. A. ( 2005 ). Generation and Presentations for Semigroup Constructions: Bruck–Reilly Extensions and P-semigroups . Ph.D. thesis , University of St Andrews . http://turnbull.dcs.st-and.ac.uk/circa/Theses/ccphd.pdf
  • Carvalho , C. A. , Ruškuc , N. ( 2005 ). Finite presentability of Bruck–Reilly extensions of semilattices . Comm. Algebra 34 ( 9 ): 3301 – 3313 .
  • Green , J. A. ( 1951 ). On the structure of semigroups . Ann. of Math. 54 ( 2 ): 163 – 172 .
  • Higgins , P. M. ( 1992 ). Techniques of Semigroup Theory . New York : Oxford Science Publications. The Clarendon Press Oxford University Press .
  • Howie , J. M. ( 1995 ). Fundamentals of Semigroup Theory . London Mathematical Society Monographs. New Series . Vol. 12 . New York : Oxford Science Publications, The Clarendon Press Oxford University Press .
  • Howie , J. M. , Ruškuc , N. ( 1994 ). Constructions and presentations for monoids . Comm. Algebra 22 ( 15 ): 6209 – 6224 .
  • Lavers , T. G. ( 1998 ). Presentations of general products of monoids . J. Algebra 204 ( 2 ): 733 – 741 .
  • Lawson , M. V. ( 1998 ). Inverse Semigroups . River Edge, NJ : World Scientific Publishing Co. Inc. . The theory of partial symmetries .
  • Lyndon , R. C. , Schupp , P. E. ( 2001 ). Combinatorial Group Theory . Classics in Mathematics . Berlin : Springer-Verlag .
  • Munn , W. D. ( 1970 ). On simple inverse semigroups . Semigroup Forum 1 ( 1 ): 63 – 74 .
  • Petrich , M. ( 1984 ). Inverse Semigroups . Pure and Applied Mathematics (New York) . New York : John Wiley & Sons Inc., A Wiley-Interscience Publication .
  • Reilly , N. R. ( 1966 ). Bisimple ω-semigroups . Proc. Glasgow Math. Assoc. 7 : 160 – 167 .
  • Ruškuc , N. ( 1999 ). Presentations for subgroups of monoids . J. Algebra 220 ( 1 ): 365 – 380 .
  • Schein , B. M. ( 1975 ). Free inverse semigroups are not finitely presentable . Acta Math. Acad. Sci. Hungar. 26 : 41 – 52 .
  • Yamamura , A. ( 2001 ). Presentations of Bruck-Reilly extensions and decision problems . Semigroup Forum 62 ( 1 ): 79 – 97 .
  • Communicated by V. Gould.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.