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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 139 - 144 (6page)
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초록· 키워드
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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).
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참고문헌 (9)
참고문헌 신청
A. S. McKerrow / 1974 / On the Injective Dimension of Modules of Power Series / Quart. J. Math. Oxford 25 : 359 ~ 368
D. G. Northcott / 1974 / Injective Envelopes and Inverse Polynomials / London Math. Soc (2) : 290 ~ 296
L. Melkersson / 1998 / Contents and Inverse Polynomials on Artinian Modules / Comm. Algebra 26 : 1141 ~ 1145
S. Park / 1993 / Inverse Ploynomials and Injective Covers / Comm. Algebra 21 : 4599 ~ 4613
S. Park / 1994 / The Macaulay-Northcott Functor / Arch. der Math 63 : 225 ~ 230
D. G. Northcott / 1974 / Injective Envelopes and Inverse Polynomials / London Math. Soc (2) : 290 ~ 296
L. Melkersson / 1998 / Contents and Inverse Polynomials on Artinian Modules / Comm. Algebra 26 : 1141 ~ 1145
S. Park / 1993 / Inverse Ploynomials and Injective Covers / Comm. Algebra 21 : 4599 ~ 4613
S. Park / 1994 / The Macaulay-Northcott Functor / Arch. der Math 63 : 225 ~ 230
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