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The group of units of some finite local rings III

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As a sequel to the papers [2, 3], we will complete our identification of the groups of units of the finite local rings Z_4[X]/(X^k+2t(X),2X^r) which is the most general type of finite local rings with a single nilpotent generator over Z_4.

Abstract

As a sequel to the papers [2, 3], we will complete our identification of the groups of units of the finite local rings Z_4[X]/(X^k+2t(X),2X^r) which is the most general type of finite local rings with a single nilpotent generator over Z_4.

참고문헌 (3)

  1. B. R. McDonald, "Finite Rings with Identity", Pure and Applied Mathematics, 28 (1974), Marcel Dekker, Inc.
  2. 우성식, "The group of units of some finite local rings I", 대한수학회지, 46(2), pp.295~311 (2009), 대한수학회
  3. 우성식, "The group of units of some finite local rings II", 대한수학회지, 46(3), pp.475~491 (2009), 대한수학회

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