臺灣博碩士論文加值系統

令R是一個環且d是R上的一個導算，本篇論文中我們描述當R是一個d-simple環時斜多項式環R[t,d]的中心和理想。我們運用這些概念，建構由R[t,d]的商環所產生的線性碼，特別是當R是一個有限d-simple環時。最後我們描述有限的可交換的d-simple環的結構。

We characterize the center and ideals of skew polynomial rings R[t,d],where R is a d-simple ring and d is a derivation of R.With these,we construct linear codes from the quotient rings of R[t,d] when R is a finite d-simple ring.Finally,we describe the structure of finite communtative d-simple rings.

Contents
0.Introduction 1
1.Results 2
2.A characterization of finite commutative d-simple rings 13
3.References 17

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