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The group of units of some finite local rings II
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In [2], we identified the group of units of finite local rings Z_4[X]/(X^k+2X^a,2X^r) with certain restrictions on a. In this paper we find direct sum decomposition of the group of units of such rings without restrictions on a into cyclic subgroups by finding their generators. And further generalization is considered.
Abstract
In [2], we identified the group of units of finite local rings Z_4[X]/(X^k+2X^a,2X^r) with certain restrictions on a. In this paper we find direct sum decomposition of the group of units of such rings without restrictions on a into cyclic subgroups by finding their generators. And further generalization is considered.
참고문헌 (3)
- Bernard R. McDonald, "Finite Rings with Identity", Pure and Applied Mathematics, 28 (1974), Marcel Dekker, Inc.
- 우성식, "The group of units of some finite local rings I", 대한수학회지, 46(2), pp.295~311 (2009), 대한수학회
- 우성식, "The group of units of some finite local rings III", 대한수학회지, 46(4), pp.675~689 (2009), 대한수학회
관련 논문AI추천
The group of units of some finite local rings I우성식대한수학회 · 대한수학회지2009 · 제46권 제2호The group of units of some finite local rings III우성식대한수학회 · 대한수학회지2009 · 제46권 제4호Multiplicative set of idempotents in a semiperfect ring박상원, 한준철대한수학회 · 대한수학회보2011 · 제48권 제5호FINITE LOCAL RINGS OF ORDER ≤ 16 WITH NONZERO JACOBSON RADICAL남상복강원경기수학회 · 한국수학논문집2013 · 제21권 제1호STRUCTURES CONCERNING GROUP OF UNITS이양, 정영우대한수학회 · 대한수학회지2017 · 제54권 제1호The structure of semiperfect ringsJuncheol Han대한수학회 · 대한수학회지2008 · 제45권 제2호
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