Varieties of group representations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 32 (1977) no. 5, pp. 1-72

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A group representation is a pair $(A,\Gamma)$, where $A$ is a module over a commutative ring $K$ with identity and $\Gamma$ is a group that acts on $A$. In the category of group representations over a fixed $K$, both $A$ and $\Gamma$ are variable. We study varieties in this category. This paper is a survey of results and problems in this area and connections with other topics.
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     author = {B. I. Plotkin},
     title = {Varieties of group representations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     number = {5},
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B. I. Plotkin. Varieties of group representations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 32 (1977) no. 5, pp. 1-72. http://geodesic.mathdoc.fr/item/RM_1977_32_5_a0/