Actions of finite groups on commutative rings I
Copyright policy )Actions of finite groups on commutative rings I
Let $R$ be a commutative ring with 1, and let $G$ be a finite group of automorphisms of $R$. Denote by $R^G$ the fixed subring of $G$, and let $I$ be a subset of $R^G$. In this paper we prove that if the ideal generated by $I$ in $R$ satisfies a certain property with regard to projectivity, flatness, multiplication or related concepts, then the ideal generated by $I$ in $R^G$ also satisfies the same property.
projectivity, multiplication, Injective and flat modules and ideals in commutative rings, finite group of automorphisms, Projective and free modules and ideals in commutative rings, Divisibility and factorizations in commutative rings, Actions of groups on commutative rings; invariant theory, flatness
projectivity, multiplication, Injective and flat modules and ideals in commutative rings, finite group of automorphisms, Projective and free modules and ideals in commutative rings, Divisibility and factorizations in commutative rings, Actions of groups on commutative rings; invariant theory, flatness
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