Membros > Membros Docentes

Gracinda Gomes

Morada Institucional

Faculdade de Ciências da Universidade de Lisboa
Av. Prof. Gama Pinto, 2
1649-003 LISBOA


Telefone: +351 21 7904826 | Fax: +351 217954288 | Email: gmcunha@fc.ul.pt

Posição

Professora Catedrática, Faculdade de Ciências, Universidade de Lisboa

Área

Álgebra

Área Principal

Teoria dos Semigrupos

Outra Área

Linguagens, Autómatos e Álgebra Computacional

Qualificações

  • Agregação em Matemática, Universidade de Lisboa, 2002
  • Equivalência ao Grau de Doutor em Matemática (Álgebra e Geometria), Faculdade de Ciências, Universidade de Lisboa, 1984
  • Doutoramento em Matemática, Universidade de St. Andrews, Reino Unido, 1983
  • Licenciatura em Matemática, Faculdade de Ciências, Universidade de Lisboa, 1978
  • Bacharelato em Matemática, Faculdade de Ciências, Universidade de Lisboa, 1976

Publicações

Artigos em Revistas Internacionais

Araújo, João; Bentz, Wolfram; Gomes, Gracinda M. S. (2017) Congruences on Direct Products of Transformation and Matrix Monoids .  .
Branco, Mário J. J.; Gomes, Gracinda M. S. (2016) Takahasi semigroups. Forum Mathematicum.
Branco, Mário J. J.; Gomes, Gracinda M. S. (2015) Ehresmann monoids.  J. Algebra : 443, 349–382.
Gomes, Gracinda M. S.; Santa-Clara, Catarina; Soares, Filipa (2015) The semigroup ring of a restriction semigroup with an inverse skeleton. Semigroup Forum: 90 (2015), no. 2, 449–474.
Gomes, Gracinda M. S.; Ruskuc, Nik (2014) John Macintosh Howie: Work and Legacy. Semigroup Forum: 89(1), 2-19.
Branco, Mário J. J.; Gomes, Gracinda M. S.; Gould, Victoria (2011) Left adequate and left Ehresmann monoids . International Journal of Algebra and Computation: 21(7), 1259-1284.
Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Jesus, Manuel M. (2011) The cardinal and the idempotent number of various monoids of transformations on a finite chain. Bulletin of the Malaysian Mathematical Sciences Society : 34(1), 79–85.
Gomes, Gracinda M. S.; Gould, Victoria (2011) Left adequate and left Ehresmann monoids II. Journal of Algebra: 348(1), 171-195.
Branco, Mário J. J.; Gould, Victoria; Gomes, Gracinda M. S. (2010) Extensions and covers for semigroups whose idempotents form a left regular band. Semigroup Forum: 81, 51-70.
Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Jesus, Manuel M. (2009) Congruences on monoids of transformations preserving the orientation on a finite chain. Journal of Algebra: 321(3), 743–757.
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria (2009) Membership of AvG for classes of finite weakly abundant semigroups. Periodica Mathematica Hungarica : 59(1), 9-36.
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria (2009) The free ample monoid. International Journal of Algebra and Computation : 19(4), 527-554.
Branco, Mário J. J.; Gomes, Gracinda M. S. (2009) The generalized Szendrei expansion of an R-unipotent semigroup. Acta Mathematica Hungarica: 123(1-2), 11-26.
Gomes, Gracinda M. S.; Gould, Victoria (2008) Fundamental semigroups having a band of idempotents. Semigroup Forum: 77, 279-299.
Gomes, Gracinda M. S.; Szendrei, Maria B. (2007) Even covers of left ample semigroups. Semigroup Forum: 74(2), 293-305.
Gomes, Gracinda M. S.; Maria B. Szendrei (2007) Almost factorizable weakly ample semigroups. Communications in Algebra: 35 (11), 3503-3523.
Fountain, John B.; Gomes, Gracinda M. S. (2006) Finite abundant semigroups in which the idempotents form a subsemigroup. Journal of Algebra: 295, 303-313.
Fountain, J.B.; Gomes, Gracinda M. S. (2006) Proper covers of ample monoids. Proc. Edinb. Math. Soc.: 49, 277-289.
Gomes, Gracinda M. S.; Pin, J.-E.; Sezinando, Helena (2006) Presentations of the Schützenberger product of n groups. Communications in Algebra: 34 (4), 1213-1235.
Gomes, Gracinda M. S. (2006) The generalized prefix expansion of a weakly left ample semigroup. Semigroup Forum: 72 (3), 387-403.
Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Jesus, Manuel M. (2005) Presentations for some monoids of partial transformations on a finite chain. Communications in Algebra: 33, 587-604.
Gomes, Gracinda M. S. (2005) Proper extensions of weakly left ample semigroups. Acta Math Hungarica: 109 (1-2), 33-51.
Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Jesus, Manuel M. (2005) Congruences on monoids of order-preserving or order-reversing transformations on a finite chain. Glasgow Mathematical Journal: 47, 413-424.
Auinger, K.; Gomes, Gracinda M. S.; Gould, V.; Steinberg, B. (2004) An application of a theorem of Ash to finite proper cover. Studia Logica: 78, 45-57.
Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Jesus, Manuel M. (2004) Presentations for Some Monoids of Injective Partial Transformations on a Finite Chain. Southeast Asian Bulletin of Mathematics: 28, 903-918.
Gomes, Gracinda M. S.; Gould, V. (2003) Finite proper covers in a class of finite semigroups with commuting idempotents. Semigroup Forum: 66, 433-454.
Araújo, Isabel M.; Branco, Mário J. J.; Fernandes, Vítor Hugo; Gomes, Gracinda M. S.; Ruskuc, N. (2001) On generators and relations for unions of semigroups. Semigroup Forum: 63 (1), 49-62.
Gomes, Gracinda M. S.; Gould, Victoria (2001) Fundamental Ehresmann Semigroups. Semigroup Forum: 63 (1), 11-33.
Fountain, John; Gomes, Gracinda M. S. (2000) Primitive inverse congruences on categorical semigroups. Proc. Edinburgh Math. Soc.: 43, 395-413.
Giraldes, Emília; Gomes, Gracinda M. S.; McAlister, D. B. (2000) On a class of lattice ordered inverse semigroups. J. Algebra: 230, 496-517.
Gomes, Gracinda M. S.; Gould, Victoria (2000) Graph expansions of unipotent monoids. Comm. Algebra: 28 (1), 447-463.
Gomes, Gracinda M. S.; Gould, Victoria (1999) Proper weakly left ample semigroups. Internat. J. Algebra Comput.: 9 (6), 721-739.
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria (1999) A Munn type representation for a class of E-semiadequate semigroups. J. Algebra: 218, 693-714.
Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria (1999) Enlargements, semiabundancy and unipotent monoids. Comm. Algebra: 27 (2), 595-614.
Gomes, Gracinda M. S.; Howie, John M. (1998) Semigroups with zero whose idempotents form a subsemigroup. Proc. Royal Soc. Edinburgh: 128A, 265-281.
Gomes, Gracinda M. S.; Szendrei, Mária B. (1998) Idempotent pure extensions of inverse semigroups via quivers. J. Pure Applied Algebra: 127, 15-38.
Gomes, Gracinda M. S.; Howie, John M. (1996) A P-theorem for inverse semigroups with zero. Portugaliae Math.: 53 (3), 257-278.
Gomes, Gracinda M. S.; Howie, John M. (1995) Idempotent endomorphisms of an independence algebra of finite rank. Proc. Edinb. Math. Soc.: 38, 107-116.
Fountain, John; Gomes, Gracinda M. S. (1994) Proper left type-A covers. Portugaliae Math.: 51 (4), 305-319.
Gomes, Gracinda M. S. (1993) A characterisation of the group congruences on a semigroup. Semigroup Forum: 46, 48-53.
Fountain, J.B.; Gomes, Gracinda M. S. (1993) Proper left type-A monoids revisited. Glasgow Math. J.: 35, 293-306.
Gomes, Gracinda M. S. (1992) Group congruences on eventually inverse semigroup. Portugal. Math.: 49 (4), 417-428.
Fountain, J.B.; Gomes, Gracinda M. S. (1992) Left proper E-dense monoids. J. Pure Appl. Algebra: 80, 1-27.
Gomes, Gracinda M. S.; Howie, J.M. (1992) On the ranks of certain semigroups of order-preserving transformations. Semigroup Forum: 45, 272-282.
Fountain, J.B.; Gomes, Gracinda M. S. (1990) The Szendrei expansion of a semigroup. Mathematika: 37, 251-260.
Gomes, Gracinda M. S. (1988) Orthodox congruences on regular semigroups. Semigroup Forum: 37, 149-166.
Gomes, Gracinda M. S.; Howie, J.M. (1987) On the ranks of certain finite semigroups of transformations. Math. Proc. Cambridge Philos. Soc.: 101, 395-403.
Gomes, Gracinda M. S.; Howie, J.M. (1987) Nilpotents in finite symmetric inverse semigroups. Proc. Edinburgh Math. Soc.: 30, 383-395.
Gomes, Gracinda M. S. (1986) Some results on congruences on R-unipotent semigroups. Semigroup Forum: 33, 175-185.
Gomes, Gracinda M. S. (1986) The lattice of R-unipotent congruences on a regular semigroup. Semigroup Forum: 33, 159-173.
Gomes, Gracinda M. S. (1985) R-unipotent congruences on regular semigroups. Semigroup Forum: 31, 265-280.
Gomes, Gracinda M. S. (1983)  On left quasinormal orthodox semigroups. Proc. Roy. Soc. Edinburgh: 95A, 59-71.
Blyth, T. S.; Gomes, Gracinda M. S. (1983) On the compatibility of the natural order on a regular semigroup. Proc. Roy. Soc. Edinburgh: 94A, 79-84.

Livros

Gomes, Gracinda M. S. (2011) Anéis e Corpos - uma introdução. Textos de Matemática, DM-FCUL: 22.

Edição de Livros

André, Jorge M.; Branco, Mário J. J.; Fernandes, Vítor Hugo; Fountain, John; Gomes, Gracinda M. S.; Meakin, John (2007) Semigroups and Formal Languages, (Proceedings - International Conference on Semigroups and Languages in honour of the 65th birthday of D.B. McAlister), Lisboa, July 2005. World Scientific.
Araújo, Isabel M.; Branco, Mário J. J.; Fernandes, Vítor Hugo; Gomes, Gracinda M. S. (2004) Proceedings of the Workshop on Semigroups and Languages (Lisbon 2002). World Scientific.
Gomes, Gracinda M. S.; Pin, J.-E.; Silva, P.V. (2002) Semigroups, Algorithms, Automata and Languages. World Scientific.
Almeida, Jorge; Gomes, Gracinda M. S.; Silva, Pedro V. (1996) Semigroups, Automata and Languages. World Scientific.

Seminars

Orders and congruences on orthodox semigroups (1983-00-00) Universidade de St. Andrews, Reino Unido
Orders and congruences on regular semigroups (1983-00-00) Universidade de St. Andrews, Reino Unido
R-unipotent congruences on regular semigroups (1983-00-00) Universidade de Glasgow, Reino Unido
Inverse and R-unipotent congruences on regular semigroup (1982-00-00) Colloquium of Semigroups, St. Andrews, Reino Unido
On left quasinormal orthodox semigroup (1982-00-00) Universidade de St. Andrews, Reino Unido

Conferências

Workshop on Semigroups 2012 (to remember John M. Howie on the occasion of his 76th birthday) Instituto para a Investigação Interdisciplinar da Universidade de Lisboa, Lisboa, Portugal, 23-25/05/2012  (Comissão Organizadora)
The second international congress in algebras and combinatorics, dedicated to the 70 birthday of Leonid A. Bokut Beijing, China, 6-11/07/2007 e Xi'an, China, 12-15/07/2007 
Fountainfest "Semigroups, categories and automata", a conference celebrating John Fountain's 65th birthday and his mathematical achievements Universidade de York, Reino Unido, 12-14/10/2006  (Orador Convidado)
Algebra and Discrete Mathematics - Symmetries and Ordered Structures under the Influence of Model Theory and Combinatorics Hattingen (perto de Essen), Alemanha, 26-31/07/2003  (Orador Convidado)
Structural Theory of Automata, Semigroups and Universal Algebra Universidade de Montréal, Canadá, 07-18/07/2003 
International Meeting on Semigroup Theory and Related Topics Universidade do Minho, Braga, Portugal, 25-28/06/2003  (Orador Convidado)
International Workshop on Semigroups and Languages CAUL, Lisboa, Portugal, 27-29/11/2002  (Comissão Organizadora)