컨텐츠 시작

학술대회/행사

초록검색

제출번호(No.) 0197
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