- 作者: 朱樺
- 作者服務機構: 台灣大學數學系
- 中文摘要: 我們想要刻劃出所有賦階環,使其為Bezout整域。首先在第二、三節,我們考慮以正數為階的賦階環。同時刻劃出所有以正整數為階的賦階Bezout整域。在第四節,我們則考慮以整數為階的賦階環。
- 英文摘要: We want to characterize the graded domains which are Bezout domains. In Sec. Ⅱ and Sec. Ⅲ,we first consider the positively graded integral domains which are Bezout domains. We can characterizethe graded domains which are graded by nonnegative integers. In Sec. IV, we discuss the graded ringswhich are graded by integers.
- 中文關鍵字: graded domain; Bezout Domain; semigroup ring
- 英文關鍵字: --