컨텐츠 시작
학술대회/행사
초록검색
제출번호(No.) | 0197 |
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분류(Section) | Special Session |
분과(Session) | (SS-03) Commutative Algebra and Related Topics (SS-03) |
발표시간(Time) | 20th-D-14:10 -- 14:30 |
영문제목 (Title(Eng.)) |
Star-operation on the Anderson rings |
저자(Author(s)) |
Hyungtae Baek1 Kyungpook National University1 |
초록본문(Abstract) | Let $D$ be an integral domain and let $D[X]$ be the polynomial ring over $D$. Consider the multiplicative subset $A = \{f \in D[X] \,|\, f(0)= 1 \}$. Then we obtain the quotient ring $D[X]_A$ of $D[X]$ by $A$, which is called the {\it Anderson ring} of $D$. In this talk, we investigate star-operations on the Anderson rings. More precisely, we examine the following objects: \begin{enumerate} \item[\rm(1)] $w$-maximal spectrum of the Anderson rings. \item[\rm(2)] $w$-local properties of the Anderson rings. \end{enumerate} |
분류기호 (MSC number(s)) |
13B30, 13A15 |
키워드(Keyword(s)) | Anderson ring, star-operation, $w$-operation, maximal $w$-ideal, $w$-local property |
강연 형태 (Language of Session (Talk)) |
Korean |