Ideal determined categories
Janelidze, G. ; Marki, L. ; Tholen, W. ; Ursini, A.
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010), p. 115-125 / Harvested from Numdam
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Publié le : 2010-01-01
@article{CTGDC_2010__51_2_115_0,
     author = {Janelidze, G. and Marki, L. and Tholen, W. and Ursini, A.},
     title = {Ideal determined categories},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {51},
     year = {2010},
     pages = {115-125},
     mrnumber = {2667979},
     zbl = {1208.18001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2010__51_2_115_0}
}

Janelidze, G.; Marki, L.; Tholen, W.; Ursini, A. Ideal determined categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) pp. 115-125. http://gdmltest.u-ga.fr/item/CTGDC_2010__51_2_115_0/

[BR] G. D. Barbour and J.G. Raftery, Ideal determined varieties have unbounded degrees of permutability, Quaest. Math. 20, 1997, 563-568 | MR 1625526 | Zbl 0899.08007

[Be] E. Beutler, An idealtheoretic characterization of varieties of abelian Ω-groups, Algebra Universalis 8, 1978, 91-100 | MR 450169 | Zbl 0369.08002

[BB] F. Borceux and D. Bourn, Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Mathematics and Its Applications, Kluwer, 2004 | Zbl 1061.18001

[B] D. Bourn, Normalization equivalence, kernel equivalence and affine categories. In: Category Theory (Proc. Conf. Como, 1990), pp. 43-62. Lecture Notes in Mathematics, 1488, Springer, 1991 | MR 1173004 | Zbl 0756.18007

[BJ] D. Bourn and G. Janelidze, Characterization of protomodular varieties of universal algebras, Theory Appl. Categ. 11, 2003, 143-147 | MR 1988074 | Zbl 1021.08003

[GU] H. P. Gumm and A. Ursini, Ideals in universal algebras, Algebra Universalis 19, 1984, 45-54 | MR 748908 | Zbl 0547.08001

[JMT] G. Janelidze, L. Márki, and W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), 367-378 | Zbl 0993.18008

[JMU1] G. Janelidze, L. Márki, and A. Ursini, Ideals and clots in universal algebra and in semi-abelian categories, J. Algebra 307 (2007), 191-208 | MR 2278049 | Zbl 1110.18006

[JMU2] G. Janelidze, L. Márki, and A. Ursini, Ideals and clots in pointed regular categories, Appl. Categ. Struct. 17 (2009), 345-350 | MR 2520086 | Zbl 1183.18002

[J1] Z. Janelidze, Subtractive categories, Appl. Categ. Struct. 13, 2005, 343-350 | MR 2175955 | Zbl 1095.18002

[J2] Z. Janelidze, Closedness properties of internal relations IV: Expressing additivity of a category via subtractivity, J. Homotopy Rel. Struct. 1, 2006, 219-227 | MR 2264744 | Zbl 1124.18003

[M] S. Mac Lane, Duality for groups, Bull. Amer. Math. Soc. 56, 1950, 485-516 | MR 49192

[U1] A. Ursini, Sulle varietà di algebre con una buona teoria degli ideali, Boll. Unione Mat. Ital. (4) 7, 1972, 90-95 | MR 314728 | Zbl 0263.08006

[U2] A. Ursini, Osservazioni sulle varietà BIT, Boll. Unione Mat. Ital. (4) 7, 1973, 205-211 | MR 323672 | Zbl 0274.08005

[U3] A. Ursini, On subtractive varieties I, Algebra Universalis 31, 1994, 204-222 | MR 1259350 | Zbl 0799.08010