CEMAT - Member

Members > PhD Members

Gracinda Gomes

Institutional Address

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

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

Position

Full Professor, Faculdade de Ciências, Universidade de Lisboa

Area

Algebra and Computing

Principal Area

Semigroup Theory

Other Area

Languages, Automata and Computacional Algebra

Qualifications

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

Papers in International Journals

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) A topological shuttle between inequalities and pseudoinequalities . Semigroup Forum: 102, no. 3, 916–924.

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

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.

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

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.; Silva, Pedro V. (2017) Takahasi semigroups . Forum Mathematicum: 29(5), 1145-1161.

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.

Branco, Mário J. J.; Gomes, Gracinda M. S.; Gould, Victoria (2015) Ehresmann monoids . J. Algebra: 443, 349–382.

Gomes, Gracinda M. S.; Ruskuc, Nik (2014) John Macintosh Howie: Work and Legacy . Semigroup Forum: 89(1), 2-19.

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.; Gomes, Gracinda M. S.; Gould, Victoria (2011) Left adequate and left Ehresmann monoids . International Journal of Algebra and Computation: 21(7), 1259-1284.

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.

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.

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.

Gomes, Gracinda M. S.; Gould, Victoria (2008) Fundamental semigroups having a band of idempotents . Semigroup Forum: 77, 279-299.

Gomes, Gracinda M. S.; Maria B. Szendrei (2007) Almost factorizable weakly ample semigroups . Communications in Algebra: 35 (11), 3503-3523.

Gomes, Gracinda M. S.; Szendrei, Maria B. (2007) Even covers of left ample semigroups . Semigroup Forum: 74(2), 293-305.

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.

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.

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.

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.

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.

Gomes, Gracinda M. S.; Gould, Victoria (2000) Graph expansions of unipotent monoids . Comm. Algebra: 28 (1), 447-463.

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.

Fountain, John; Gomes, Gracinda M. S.; Gould, Victoria (1999) Enlargements, semiabundancy and unipotent monoids . Comm. Algebra: 27 (2), 595-614.

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.

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. (1998) Semigroups with zero whose idempotents form a subsemigroup . Proc. Royal Soc. Edinburgh: 128A, 265-281.

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.

Fountain, J.B.; Gomes, Gracinda M. S. (1993) Proper left type-A monoids revisited . Glasgow Math. J.: 35, 293-306.

Gomes, Gracinda M. S. (1993) A characterisation of the group congruences on a semigroup . Semigroup Forum: 46, 48-53.

Gomes, Gracinda M. S.; Howie, J.M. (1992) On the ranks of certain semigroups of order-preserving transformations . Semigroup Forum: 45, 272-282.

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.

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) Nilpotents in finite symmetric inverse semigroups . Proc. Edinburgh Math. Soc.: 30, 383-395.

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. (1986) The lattice of R-unipotent congruences on a regular semigroup . Semigroup Forum: 33, 159-173.

Gomes, Gracinda M. S. (1986) Some results on congruences on R-unipotent semigroups . Semigroup Forum: 33, 175-185.

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.

Books

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

Edition of Books

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

Conferences

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 (Organizing Committee)

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 and 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) University of York, UK, 12-14/10/2006 (Invited Speaker)

Algebra and Discrete Mathematics - Symmetries and Ordered Structures under the Influence of Model Theory and Combinatorics (26/07/2003) Hattingen (near Essen), Germany, 26-31/07/2003 (Invited Speaker)

Structural Theory of Automata, Semigroups and Universal Algebra (07/07/2003) University of Montreal, Canada, 07-18/07/2003

International Meeting on Semigroup Theory and Related Topics (25/06/2003) University of Minho, Braga, Portugal, 25-28/06/2003 (Invited Speaker)

International Workshop on Semigroups and Languages (11/2002) CAUL, Lisbon, Portugal, 27-29/11/2002 (Organizing Committee)