The additive theory of ideals in systems with residuals
Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 1011-1040

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We construct the general theory of primarity for algebraic systems, unifying many results in the corresponding theories for rings, modules, groups, and semigroups.
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     author = {V. A. Andrunakievich and Yu. M. Ryabukhin},
     title = {The additive theory of ideals in systems with residuals},
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V. A. Andrunakievich; Yu. M. Ryabukhin. The additive theory of ideals in systems with residuals. Izvestiya. Mathematics , Tome 1 (1967) no. 5, pp. 1011-1040. http://geodesic.mathdoc.fr/item/IM2_1967_1_5_a5/