논문KCI 등재
The group of units of some finite local rings I
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The purpose of this paper is to identify the group of units of finite local rings of the types F_2[X]/(X^k) and Z_4[X]/I, where I is an ideal. It turns out that they are 2-groups and we give explicit direct sum decomposition into cyclic subgroups of 2-power order and their generators.
Abstract
The purpose of this paper is to identify the group of units of finite local rings of the types F_2[X]/(X^k) and Z_4[X]/I, where I is an ideal. It turns out that they are 2-groups and we give explicit direct sum decomposition into cyclic subgroups of 2-power order and their generators.
참고문헌 (5)
- . R. McDonald, "Finite Rings with Identity", Pure and Applied Mathematics, 28 (1974), Marcel Dekker, Inc.
- 우성식, "Algebras with a nilpotent generator over $\mathbb{Z}_p^2$", 대한수학회보, 43(3), pp.487~497 (2006), 대한수학회
- 우성식, "Cyclic Codes of Even Length over $\mathbb Z_4$", 대한수학회지, 44(3), pp.697~706 (2007), 대한수학회
- 우성식, "The group of units of some finite local rings II", 대한수학회지, 46(3), pp.475~491 (2009), 대한수학회
- 우성식, "The group of units of some finite local rings II", 대한수학회지, 46(3), pp.475~491 (2009), 대한수학회
관련 논문AI추천
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