Antonio M. Cegarra

A.M. Cegarra, J. Leech: The Cohomology of Monoids,

RSME Springer Series Vol. 12 (2024), 227 pages.

A.M. Cegarra: Double groupoids and Postnikov invariants,

cahiers de topologie et géométrie différentielle catégoriques Vol. LXIV (2023), 125-175.

A.M. Cegarra: Higher cohomologies for presheaves of commutative monoids,

Turkish Journal of Mathematics 45 (2021), 2534-2593.

A.M. Cegarra: Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories,

Mathematics 8(6), 981 (2020), 1-27.

P. Carrasco, A.M. Cegarra: Cohomology of Presheaves of Monoids,

Mathematics 8(1), 116 (2020),1-34.

A.M. Cegarra: Nonabelian cocycles and the spectrum of a symmetric monoidal category,

Turkish Journal of Mathematics 44 (2020), 50-84.

A.M. Cegarra: Cohomology of monoids with opertors,

Semigroup Forum 99 (2019), 67-105.

M. Calvo-Cervera, A.M. Cegarra: Higher cohomologies of commutative monoids.

J. Pure Applied Algebra 223 (2019), 131-174.

P. Carrasco, A.M. Cegarra: A Dold-Kan Theorem for simplicial Lie algebras.

Theory and Applications of Categories 32 (2017), 1165-1212.

A.M. Cegarra, B.A. Heredia: Homotopy colimits of 2-functors.

J. Homotopy Relat. Struct. 11 (2016), 735-774.

M. Calvo, A.M. Cegarra: (Co)homology of cyclic monoids.

Int. J. Algebra Comput. 26 (2016), 887-910.

M. Calvo, A.M. Cegarra, B.A. Heredia: On the third cohomology group of commutative monoids.

Semigroup Forum 92 (2016), 511-533.

M. Calvo-Cervera, A.M. Cegarra: A cohomology theory for commutative monoids.

Mathematics 3 (2015), 1001-1031.

A.M. Cegarra, N. Ghroda, M. Petrich: New orders in primitive inverse semigroups

Acta Sci. Math. 81 (2015), 111-131.

A.M. Cegarra, B.A. Heredia, J. Remedios: Bicategorical homotopy pullbacks

Theory Appl. Categ. 30 (2015), 147-205.

A.M. Cegarra, B.A. Heredia: Comparing Geometric Realizations of Tricategories

Algebr. Geom. Topol. 14 (2014), 1997-2064.

M. Calvo, A.M. Cegarra, B.A. Heredia: Bicategorical Homotopy Fiber Sequences.

J. Homot. Relat. Struct. 9 (2014), 125-173.

M. Calvo, A.M. Cegarra, B.A. Heredia: Structure and classification of monoidal groupoids.

Semigroup Forum 87 (2013), 35-79.

M. Calvo, A.M. Cegarra, N.T. Quang: Higher Cohomology of Modules.

Algebr. Geom. Topol. 12 (2012), 343-413.

A.M. Cegarra, B.A. Heredia, J. Remedios: Double groupoids and homotopy 2-types.

Applied Categorical Structures 20 (2012), 323-378.

A.M. Cegarra: Homotopy fibre sequences induced by 2-functors.

Journal of Pure and Applied Algebra 215 (2011) 310-334.

P. Carrasco, A.M. Cegarra, A.R. Garzón: Classifying spaces for braided monoidal categories and lax diagrams of bicategories.

Advances in Mathematics 226 (2011), 419-483.

P. Carrasco, A.M. Cegarra, A.R. Garzón: Nerves and classifying spaces for bicategories.

Algebr. Geom. Topol. 10 (2010), 219-274.

P. Carrasco, A.M. Cegarra, A.R. Garzón: The classifying space of a categorical crossed module.

Math. Nachrichten 283 (2010), 544-567.

A.M. Cegarra, M. Petrich: Commutative Cancellative Semigroups of Low Rank.

Results in Mathematics 54 (2009), 41-52.

A.M. Cegarra, M. Petrich: The rank of a commutative semigroup.

Mathematica Bohemica 134 (2009), 301-318.

A.M. Cegarra, J. Remedios: The behaviour of the W-construction on the homotopy theory of bisimplicial sets.

Manuscripta Mathematica 124 (2007), 427-457.

A.M. Cegarra, E. Khmaladze: Homotopy clasification of graded Picard categories.

Advances in Mathematics 213 (2007), 644-686.

A.M. Cegarra, J. Remedios: Diagonal fibrations are poitwise fibrations.

Journal of Homotopy and Related Structures 2 (2007), 81-92.

P. Carrasco, A.M. Cegarra, A.R. Garzón: The homotopy categorical crossed module of a CW-complex.

Topology and its Applications 154 (2007), 834-847.

A.M. Cegarra, E. Khmaladze: Homotopy classification of braided graded categorical groups.

Journal of Pure and Applied Algebra 209 (2007), 411-437.

A.M. Cegarra, M. Petrich: Structure of commutative cancellative subarchimedean semigroups.

Bulleting of the Belgian Mathematical Society-Simon Stevin 13 (2006) 101-111.

A.M. Cegarra, A.R. Garzón: Equivariant Brauer groups and cohomology.

Journal of Algebra 296 (2006), 56-74.

A.M. Cegarra, M. Petrich: A categorical treatment of numerical semigroups.

Publicationes Mathematicae Debrecen 296 (2006), 56-74.

A.M. Cegarra, M. Petrich: Commutative cancellative semigroups and rational vector spaces.

Bollettino dell'Unione Matematica Italiana, Sezione B: Articoli di ricerca matematica 9 (2006), 133-144.

A.M. Cegarra, J. Remedios: The relationship between the diagonal and the bar constructions on a bisimplicial set.

Topology and its Applications 153 (2005) 21-51.

A.M. Cegarra, M. Petrich: The rank of a commutative cancellative semigroup.

Acta Mathematica Hungarica 107 (2005) 71-75.

M. Bullejos, A.M. Cegarra: Classifying spaces for monoidal categories through geometric nerves.

Canadian Mathematical Bulletin 47 (2004) 321-331.

A.M. Cegarra, M. Petrich: Commutative cancellative semigroups of finite rank.

Periodica Mathematica Hungarica 49 (2004) 35-44.

A.M. Cegarra, H. Inassaridze: Homology of groups with operators.

International Mathematical Journal 5 (2004) 29-48.

M. Bullejos, A.M. Cegarra: On the geometry of 2-categories and their classifying spaces.

K-Theory 29 (2003) 211-229.

A.M. Cegarra, A.R. Garzón: Equivariant group cohomology and Brauer group.

Bulletin of the Belgian Mathematical Society - Simon Stevin 10 (2003) 451-459.

A.M. Cegarra, A.R. Garzón: Some algebraic applications of graded categorical group theory.

Theory and Applications of Categories 11 (2003), 215-251.

A.M. Cegarra: Cohomology of diagrams of groups. The classification of (co)fibred categorical groups.

International Mathematical Journal 3 (2003) 643-680.

A.M. Cegarra, J.M García Calcines, J.A. Ortega: On graded categorical groups and equivariant group extensions.

Canadian Journal of Mathematics 54 (2002), 970-997.

A.M. Cegarra: On the classification of strongly graded Hopf algebras.

Journal of Algebra 251 (2002), 358-370.

A.M. Cegarra, J.M García Calcines,J.A. Ortega: Cohomology of groups with operators.

Homology, Homotopy and Applications 4 (2002), 1-23.

P. Carrasco, A.M. Cegarra, A. R.-Grandjeán: (Co)homology of crossed modules.

J. Pure Appl. Algebra 168 (2002), 147-176.

A.M. Cegarra, M. Petrich: Categories of representations of commutative cancellative semigroups.

Algebra Colloquium 8 (2001), 361-380.

A.M. Cegarra, A.R. Garzón: Homotopy classification of categorical torsors.

Applied Categorical Structures 9 (2001), 465-496.

A.M. Cegarra, A.R. Garzón, J.A. Ortega: Graded extensions of monoidal categories.

Journal of Algebra 241 (2001), 620-657.

A.M. Cegarra, A.R. Garzón: Obstructions to Clifford system extensions of algebras.

Proceedings of the Indian Academy of Sciences - Mathematical Sciences 111 (2001), 151-161.

A.M. Cegarra, A.R. Garzón, A. R.-Grandjeán: Graded extensions of categories.

Journal of Pure and Applied Algebra 154 (2000) 117-141.

A.M. Cegarra: Homotopy representability of Brauer groups.

Extracta Mathematicae 14 (1999) 283-293.

A.M. Cegarra, L. Fernández: Cohomology of cofibred categorical groups.

Journal of Pure and Applied Algebra 143 (1999) 107-154.

P. Carrasco, A.M. Cegarra: Schreier theory for central extensions of categorical groups.

Communications in Algebra 24 (1996) 4059-4112.

P. Carrasco, A.M. Cegarra: (Braided) tensor structures on homotopy groupoids and nerves of (braided) categorical groups.

Communications in Algebra 24 (1996) 24 (1996), 3995-4058.

P. Carrasco, A.M. Cegarra: Extensions centrales de Gr-catégories par des Gr-catégories tressées.

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 321 (1995) 527-530.

P. Carrasco, A.M. Cegarra: Applications de la notion du nerf d'une Gr-catégorie (tressée).

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 321 (1995) 395-398.

M. Bullejos, P. Carrasco, A.M. Cegarra: Cohomology with coefficients in symmetric cat-groups. An extension of Eilenberg-Mac Lane's classification theorem.

Mathematical Proceedings of the Cambridge Philosophical Society 114 (1993) 163-189.

M. Bullejos, A.M. Cegarra, J. Duskin: On Cat^n-groups and homotopy types.

Journal of Pure and Applied Algebra 86 (1993) 135-154.

M. Bullejos,P. Carrasco, A.M. Cegarra, et al.: Homotopy methods in the theory of algebraic obstruction.

Papers in honor of Pablo Bobillo Guerrero (Spanish), 163-181, Univ. Granada, Granada, 1992.

A.M. Cegarra, A.R. Garzón: A long exact sequence in nonabelian cohomology.

Lecture Notes in Mathematics 1488 (1991) 79-94.

P. Carrasco, A.M. Cegarra: Group-theoretic algebraic models for homotopy types.

J. Pure Appl. Algebra75 (1991), 195-235.

M. Bullejos, A.M. Cegarra: A 3-dimensional nonabelian cohomology of groups with applications to homotopy classification of continuous maps.

Canadian Journal of Mathematics 43 (1991), 265-296.

A.M. Cegarra, M. Bullejos: Cohomology and higher-dimensional Baer invariants.

Journal of Algebra 132 (1990), 332-339.

A.M. Cegarra, M. Bullejos: Nonabelian cohomology of associative algebras. The 9-term exact sequence.

Cahiers de Topologie et Géométrie Différentielle Catégoriques 30 (1989), 295-338.

A.M. Cegarra, A.R. Garzón, P. Carrasco: An exact sequence in the first variable for nonabelian cohomology in algebraic categories. A Mayer-Vietoris sequence for nonabelian cohomology of groups.

Lecture Notes in Mathematics 1348 (1988), 72-86.

P. Carrasco, A.M. Cegarra, A.R. Garzón: La suite fondamentale de Hochschild-Serre pour la cohomologie non abélienne des groupes, II.

Comptes Rendus Acad. Sci. Paris, Sér. I Math. 307 (1988), 71-74.

A.M. Cegarra, M. Bullejos, A.R. Garzón: Higher-dimensional obstruction theory in algebraic categories.

Journal of Pure and Applied Algebra 49 (1987) 43-102.

A.M. Cegarra, P. Carrasco, A.R. Garzón: La suite fondamentale de Hochschild-Serre pour la cohomologie non abélienne des groupes, I.

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 305 (1987) 505-508.

A.M. Cegarra, A.R. Garzón: La principalité dans la théorie de l'obstruction de dimension 3. Un allongement de la suite de cohomologie non abélienne des groupes.

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 302 (1986) 523-526.

A.M. Cegarra, E. Aznar: An exact sequence in the first variable for torsor cohomology: the 2-dimensional theory of obstructions.

J. Pure Appl. Algebra 39 (1986), 197-250.

P. Carrasco, A.M. Cegarra, J. Olmos: A structure theorem for 2-hypergroupoids with topological applications.

Collectanea Mathematica 36 (1985) 3-12.

A.M. Cegarra, M. Bullejos: Sur la théorie de l'obstruction de dimension n.

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 299 (1984) 419-422.

A.M. Cegarra, A.R. Garzón: Sur l'annulation des groupes de cohomologie de Shukla d'une algèbre associative à coefficients dans un module injectif.

Comptes Rendus Acad. Sci. Paris, Sér. I Math., 296 (1983) 299-302.

A.M. Cegarra: La sucesión de tres términos en categorías algebraicas.

Revista Matemática Hispanoamericana 41 (1981), 128-138.

A. R.-Grandjeán, A.M. Cegarra: Cohomología respecto a una variedad de una categoría.

Collectanea Mathematica 31 (1980) 277-300.

A.M. Cegarra: Cohomología varietal.

Álxebra 32 (1980), 242 pp.

A.M. Cegarra: Homología y triples.

Álxebra 24 (1978), 137 pp.