Galois group of generalized inverse polynomial modules
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Given an injective envelope E of a left R-module M, there is an associative Galois group Gal(ϕ). Let R be a left noetherian ring and E be an injective envelope of M, then there is an injective envelope E[x^{−1}] of an inverse polynomial module M[x^{−1}] as a left R[x]-module and we can define an associative Galois group Gal(ϕ[x^{−1}]). In this paper we extend the Galois group of inverse polynomial module and can get Gal(ϕ[x^{−s}]), where S is a submonoid of N (the set of all natural numbers).
Abstract
Given an injective envelope E of a left R-module M, there is an associative Galois group Gal(ϕ). Let R be a left noetherian ring and E be an injective envelope of M, then there is an injective envelope E[x^{−1}] of an inverse polynomial module M[x^{−1}] as a left R[x]-module and we can define an associative Galois group Gal(ϕ[x^{−1}]). In this paper we extend the Galois group of inverse polynomial module and can get Gal(ϕ[x^{−s}]), where S is a submonoid of N (the set of all natural numbers).
참고문헌 (9)
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