On the homology theory of categories. II.
Azmi Hanna (1972)
Journal für die reine und angewandte Mathematik
Michael Johnson, R. F. C. Walters (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Kato, Goro (1985/1986)
Portugaliae mathematica
Golasiński, Marek (2000)
Theory and Applications of Categories [electronic only]
Borceux, F., Janelidze, G., Kelly , G.M. (2005)
Theory and Applications of Categories [electronic only]
Daniel Simson (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
S. Balcerzyk, Phan Chan, R. Kiełpiński (1976)
Fundamenta Mathematicae
Zheng-Xu He (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si definisce il gruppo di —omotopia di un singolo modulo e si introduce la nozione di equivalenza -omotopica debole. Sotto determinate condizioni per l'anello di base oppure per i moduli considerati, le equivalenze -omotopiche deboli coincidono con le equivalenze -omotopiche (forti).
I. Pop (1992)
Revista Matemática de la Universidad Complutense de Madrid
In this paper we characterize weak monomorphisms and weak epimorphisms in the category of pro-groups. Also we define the notion of weakly exact sequence and we study this notion in the category of pro-groups.
Weiling Song, Tiwei Zhao, Zhaoyong Huang (2020)
Czechoslovak Mathematical Journal
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory of an abelian category , and prove that the right Gorenstein subcategory is closed under extensions, kernels of epimorphisms, direct summands and finite direct sums. When is self-orthogonal, we give a characterization for objects in , and prove that any object in with finite -projective dimension is isomorphic to a kernel (or a cokernel) of a morphism from an object in with finite -projective dimension...
Jean-Louis Loday (1989)
Inventiones mathematicae
Winfried Bruns (1986)
Journal für die reine und angewandte Mathematik
Barr, Michael (1995)
Theory and Applications of Categories [electronic only]
Ross Street (1991)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Ross Street (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Khovanov, Mikhail (2003)
Experimental Mathematics
John P. Alexander, Gary C. Hamrick (1978)
Commentarii mathematici Helvetici
James Howie, Hans R. Schneebeli (1981)
Commentarii mathematici Helvetici
Pascal Lambrechts, Don Stanley (2008)
Annales scientifiques de l'École Normale Supérieure
We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
A. Blanco, J. Majadas, A.G. Rodicio (1996)
Inventiones mathematicae