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Injective objects in categories of monoid representations. (English. Russian original) Zbl 0572.08002
Math. Notes 36, 570-577 (1984); translation from Mat. Zametki 36, No. 2, 159-170 (1984).
Let $$\Gamma$$ be an abelian quasivariety in the sense of A. G. Kurosh [General Algebra (Russian; 1974; Zbl 0289.00004)]. If $$\Gamma$$ has enough injective objects, then so does, for each monoid R, the category of all representations of R in $$\Gamma$$.