@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}, eid = {2}, pages = {115--125}, publisher = {Andr\'ee CHARLES EHRESMANN}, volume = {51}, number = {2}, year = {2010}, mrnumber = {2667979}, zbl = {1208.18001}, language = {en}, url = {http://www.numdam.org/item/CTGDC_2010__51_2_115_0/} }
TY - JOUR AU - Janelidze, G. AU - Marki, L. AU - Tholen, W. AU - Ursini, A. TI - Ideal determined categories JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2010 SP - 115 EP - 125 VL - 51 IS - 2 PB - Andrée CHARLES EHRESMANN UR - http://www.numdam.org/item/CTGDC_2010__51_2_115_0/ LA - en ID - CTGDC_2010__51_2_115_0 ER -
%0 Journal Article %A Janelidze, G. %A Marki, L. %A Tholen, W. %A Ursini, A. %T Ideal determined categories %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2010 %P 115-125 %V 51 %N 2 %I Andrée CHARLES EHRESMANN %U http://www.numdam.org/item/CTGDC_2010__51_2_115_0/ %G en %F 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) no. 2, article no. 2, 11 p. http://www.numdam.org/item/CTGDC_2010__51_2_115_0/
[BR] Ideal determined varieties have unbounded degrees of permutability, Quaest. Math. 20, 1997, 563-568 | MR | Zbl
and ,[Be] An idealtheoretic characterization of varieties of abelian Ω-groups, Algebra Universalis 8, 1978, 91-100 | MR | Zbl
,[BB] Mal'cev, Protomodular, Homological and Semi-Abelian Categories, Mathematics and Its Applications, Kluwer, 2004 | Zbl
and ,[B] 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 | Zbl
,[BJ] Characterization of protomodular varieties of universal algebras, Theory Appl. Categ. 11, 2003, 143-147 | EuDML | MR | Zbl
and ,[GU] Ideals in universal algebras, Algebra Universalis 19, 1984, 45-54 | MR | Zbl
and ,[JMT] Semi-abelian categories, J. Pure Appl. Algebra 168 (2002), 367-378 | Zbl
, , and ,[JMU1] Ideals and clots in universal algebra and in semi-abelian categories, J. Algebra 307 (2007), 191-208 | MR | Zbl
, , and ,[JMU2] Ideals and clots in pointed regular categories, Appl. Categ. Struct. 17 (2009), 345-350 | MR | Zbl
, , and ,[J1] Subtractive categories, Appl. Categ. Struct. 13, 2005, 343-350 | MR | Zbl
,[J2] Closedness properties of internal relations IV: Expressing additivity of a category via subtractivity, J. Homotopy Rel. Struct. 1, 2006, 219-227 | EuDML | MR | Zbl
,[M] Duality for groups, Bull. Amer. Math. Soc. 56, 1950, 485-516 | MR
,[U1] Sulle varietà di algebre con una buona teoria degli ideali, Boll. Unione Mat. Ital. (4) 7, 1972, 90-95 | MR | Zbl
,[U2] Osservazioni sulle varietà BIT, Boll. Unione Mat. Ital. (4) 7, 1973, 205-211 | MR | Zbl
,[U3] On subtractive varieties I, Algebra Universalis 31, 1994, 204-222 | MR | Zbl
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