Ideal determined categories
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 2, article no. 2, 11 p. 
@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] G. D. Barbour and J.G. Raftery, Ideal determined varieties have unbounded degrees of permutability, Quaest. Math. 20, 1997, 563-568 | MR | Zbl

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

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

[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 | Zbl

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

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

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

[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 | Zbl

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

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

[J2] Z. Janelidze, 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] S. Mac Lane, Duality for groups, Bull. Amer. Math. Soc. 56, 1950, 485-516 | MR

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

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

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