Geodesic
The semigroup of reflective subcategories
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 61-75 
M. Sh. Tsalenko. The semigroup of reflective subcategories. Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 61-75. http://geodesic.mathdoc.fr/item/SM_1970_10_1_a4/
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     title = {The semigroup of reflective subcategories},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_1_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An associative product is defined on the class of reflective subcategories of certain categories; we assume that the subcategories are closed under subobjects. The “semigroup”' obtained contains, in particular, the semigroup of varieties. Dually, one can define the “semigroup”' of coreflective subcategories with the same rule of multiplication. Bibliography: 16 titles.

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[7] A. X. Livshits, M. Sh. Tsalenko, E. G. Shulgeifer, “Mnogoobraziya v kategoriyakh”, Matem. sb., 63(105) (1964), 554–581 | Zbl

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[12] M. Sh. Tsalenko, “Sootvetstviya nad kvazitochnoi kategoriei”, Matem. sb., 73(115) (1967), 564–684

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