3 x 3 lemma for star-exact sequences

Simple item page
dc.contributor.authorGran, Marinoen_ZA
dc.contributor.authorJanelidze, Zuraben_ZA
dc.contributor.authorRodelo, Dianaen_ZA
dc.date.accessioned2013-07-03T08:19:48Z
dc.date.available2013-07-03T08:19:48Z
dc.date.issued2012
dc.descriptionCITATION: Gran, M., Janelidze, Z & Rodelo, D. 2012. 3 X 3 lemma for star-exact sequences. Homology Homotopy Appl. 14 (2) 1 - 22, 2012.
dc.descriptionThe original publication is available at https://projecteuclid.org/
dc.description.abstractENGLISH ABSTRACT: A regular category is said to be normal when it is pointed and every regular epimorphism in it is a normal epimorphism. Any abelian category is normal, and in a normal category one can define short exact sequences in a similar way as in an abelian category. Then, the corresponding 3 × 3 lemma is equiv- alent to the so-called subtractivity, which in universal algebra is also known as congruence 0-permutability. In the context of non-pointed regular categories, short exact sequences can be replaced with “exact forks” and then, the corresponding 3 × 3 lemma is equivalent, in the universal algebraic terminology, to congruence 3-permutability; equivalently, regular categories sat- isfying such 3 × 3 lemma are precisely the Goursat categories. We show how these two seemingly independent results can be unified in the context of star-regular categories recently intro- duced in a joint work of A. Ursini and the first two authors.en_ZA
dc.format.extent22 pages
dc.identifier.citationGran, M., Janelidze, Z & Rodelo, D. 2012. 3 X 3 lemma for star-exact sequences. Homology Homotopy Appl. 14 (2) 1 - 22, 2012.
dc.identifier.urihttp://hdl.handle.net/10019.1/82699
dc.publisherINT PRESS BOSTON, INC
dc.rights.holderAuthors retain copyright
dc.subject.lcshCategories (Mathematics)en_ZA
dc.subject.lcshAlgebra, Universalen_ZA
dc.subject.lcshSequences (Mathematics)en_ZA
dc.subject.lcshSpectral sequences (Mathematics)en_ZA
dc.title3 x 3 lemma for star-exact sequencesen_ZA
dc.typeArticle
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
gran_lemma_2012.pdf
Size:
175.97 KB
Format:
Adobe Portable Document Format
Description:
Download article
Download
Collections
Research Articles (Mathematical Sciences)