On the subalgebra of invariant elements: finiteness and immersions

Jesús Martín Ovejero, Ángel Luis Muñoz Castañeda, Francisco José Plaza Martín

Let $R$ be an algebra over a ring $\mathbb{k}$, $T$ an $R$-algebra, $M$ a finitely generated projective $R$-module, and $N$ a $T$-module. Let $G$ be a linearly reductive group scheme ov…