17
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

A deterministic algorithm to decide if a finitely presented abelian monoid is cancellative

&
Pages 4217-4224 | Received 01 Apr 1996, Published online: 27 Jun 2007

References

  • Clifford , A.H. and Preston , G.B. 1961 . The Algebraic Theory of Semigroups . American Mathematical Society , 7 Mathematical surveys
  • Cox , D. , Little , J. and Oshea , D. 1992 . Ideals, Varieties and Algorithms , Springer-Verlag .
  • Eilenberg , S. and Schützenberger , M.P. 1969 . Rationsal Sets in Commutative Monoids . Journal of Algebra , 13 : 173 – 191 .
  • Gilmer , R. 1984 . Commutative Semigroup Rings , The University of Chicago Press .
  • Herzog , J. 1970 . Generators and Relations of Abelian Semigroups and Semigroup Rings . Manuscripta Math , 3 : 175 – 1993 .
  • Huynh , D.T. 1986 . A Superexponential Lower Bound for Gröbner Bases and Church-Rosser Commutative Thue Systems . Information and Control , 68 : 196 – 206 .
  • Jacobson , N. 1974 . Basic Algebra 1 , W. H. Freeman and Company .
  • Jantzen , M. 1988 . Confluent String Rewriting , Springer-Verlag .
  • Naicedkan , P. and ODúnlaing , C. 1989 . Cancellativity m Finitely Presented Semigroups . J. Symbolic Camputation , 7 : 457 – 472 .
  • Rédei , L. 1965 . The Theory ofFinitely Generated Commutative Semigroups . Porgamon , 7
  • Rosaiks , J.C. 1995 . Function Minimum Associated to a Congruence on Integral n-tuple space . Semigroup Forum , 51 : 87 – 95 .
  • Rosalks , J.C. and Garcí Sanclirz , P.A. 1995 . An algorithm to Compute a Minimal Relation for Afline Semigroups , 51 Submitted
  • Stukmfels , B. 1994 . Gröbner Bases and Convox Polytopes . Expanded Lecture Notes from the Holiday Symposium at New Mexico State University . December 27-31 1994 , Las Cruces.

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.