Manuel Delgado's Annual Report -2013
Year:
Brief description of the research activities:
I did research on numerical semigroups and produced software related to this research.
Rees quotients of numerical semigroups are finite commutative nilpotent monoids; results obtained give some connections between the theories of numerical semigroups and of finite semigroups.
It was obtained an algorithm to compute generalized Feng Rao numbers of numerical semigroups which is usable in practice. Results related to these numbers, for numerical semigroups generated by intervals have been then obtained. The interest on the obtention of results related to the Feng Rao numbers comes from Coding Theory.
Articles in international peer reviewed journals :
Papers accepted for publication in peer reviewed journals:
Communications in international conferences :
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Communications in national conferences:
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Seminars given (at CMUP):
Computational applications:
<ul>
<li>
M. Delgado, P.A. García-Sánchez and J. Morais, numericalsgps, a GAP package for computing with numerical semigroups, Version 0.980, (Released 17/06/2013) (http://www.gap-system.org/Packages/numericalsgps.html)
</li>
<li>M. Delgado, intpic, a package for drawing integers by emphasizing some subsets, Version 0.1.0 (Released 05/07/2013) (http://www.gap-system.org/Packages/intpic.html)</li>
</ul>
Work visits:
Universidad de Granada (14 to 25 April)
Universidade Nova de Lisboa (17 to 20 July)