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Membros > Membros doutorados

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 e Computação

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

Artigos em Revistas Internacionais

Gomes, Gracinda M. S.; Ana-Catarina C. Monteiro (2024) Formations and i-Fitting classes of inverse semigroups, congruences and languages . Semigroup Forum: 109 (1), 87-115.

Gomes, Gracinda M. S.; Ana-Catarina C. Monteiro (2023) Formations of orthodox semigroups . Semigroup Forum: 107, 651–679.

Gomes, Gracinda M. S.; Nobre, Isabel J. (2022) Formations of inverse semigroups . Semigroup Forum: 105, 217–243.

Gomes, Gracinda M. S.; Bernardo H. Fernandes (2021) omega sharp algebras . Communications in Algebra: 49 (9), 3969–3999.

Gomes, Gracinda M. S.; Bernardo H. Fernandes (2021) A topological shuttle between inequalities and pseudoinequalities . Semigroup Forum: 102, no. 3, 916–924.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Pin, Jean-Éric; Soler-Escrivà, Xaro (2020) On formations of monoids . Journal of Pure and Applied Algebra: 224, no. 11, 106401, 24 pages.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Silva, Pedro V. (2019) On the semigroup rank of a group . Semigroup Forum: 99, 568-578.

Araújo, João; Gomes, Gracinda M. S.; Bentz, Wolfram (2018) Congruences on direct products of transformation and matrix monoids . Semigroup Forum: 97, 384-416.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Gould, Victoria; Wang, Yanhui (2018) Ehresmann monoids: adequacy and expansions . Journal of Algebra: 513, 344-367.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Silva, Pedro V. (2017) Takahasi semigroups . Forum Mathematicum: 29(5), 1145-1161.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Gould, Victoria (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.

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.; 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.

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.

Gomes, Gracinda M. S. (2006) The generalized prefix expansion of a weakly left ample semigroup . Semigroup Forum: 72 (3), 387-403.

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.

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.

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.

Gomes, Gracinda M. S. (1983) On left quasinormal orthodox semigroups . Proc. Roy. Soc. Edinburgh: 95A, 59-71.

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

Semigroups and congruences on inverse semigroups (01/01/1987) Universidade de Bradford, Reino Unido

Semigrupos inversos gerados por transformações nilpotentes - quando X é finito (01/01/1986) CAUL, Universidade de Lisboa, Portugal

The rank of a finite Brandt semigroup (01/01/1986) Universidade de Lisboa, Portugal

On regular languages, hipercodes and infixes (01/01/1986) Universidade de St. Andrews, Reino Unido

Certas congruências e certos pares de congruência (01/01/1983) CAUL, Universidade de Lisboa, Portugal

Orders and congruences on orthodox semigroups (01/01/1983) Universidade de St. Andrews, Reino Unido

Orders and congruences on regular semigroups (01/01/1983) Universidade de St. Andrews, Reino Unido

R-unipotent congruences on regular semigroups (01/01/1983) Universidade de Glasgow, Reino Unido

Inverse and R-unipotent congruences on regular semigroup (01/01/1982) Colloquium of Semigroups, St. Andrews, Reino Unido

On left quasinormal orthodox semigroup (01/01/1982) Universidade de St. Andrews, Reino Unido

Conferências

Workshop on Semigroups 2012 (to remember John M. Howie on the occasion of his 76th birthday) (23/05/2012) 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 (07/2007) 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 (12/10/2006) 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 (26/07/2003) Hattingen (perto de Essen), Alemanha, 26-31/07/2003 (Orador Convidado)

Structural Theory of Automata, Semigroups and Universal Algebra (07/07/2003) Universidade de Montréal, Canadá, 07-18/07/2003

International Meeting on Semigroup Theory and Related Topics (25/06/2003) Universidade do Minho, Braga, Portugal, 25-28/06/2003 (Orador Convidado)

International Workshop on Semigroups and Languages (11/2002) CAUL, Lisboa, Portugal, 27-29/11/2002 (Comissão Organizadora)