컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0243 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-03) Commutative Algebra and Related Topics (SS-03) |
| 발표시간(Time) | 20th-D-13:20 -- 13:40 |
| 영문제목 (Title(Eng.)) |
Related concepts of relfexive ideals in noncommutative ring theory |
| 저자(Author(s)) |
Tai Keun Kwak1, Chang Ik Lee2, Yang Lee3 Daejin University1, Pusan National University2, Yanbian University3 |
| 초록본문(Abstract) | In this talk, we continue the study of the reflexivity of ideals, introduced by Mason, and extend this notion to the subsets in rings. We construct the smallest reflexive ideal containing $S$ from any proper ideal $S$ of any given ring $R$; by which we can construct reflexive ideals but not semiprime in a kind of noncommutative ring. A subset $T$ of a ring $R$ is called {\it reflexively closed} if $aRb\subseteq T$ for $a, b\in R$ implies $bRa\subseteq T$, checking that a ring $R$ is symmetric if and only if the right (left) annihilator of $a$ is reflexively closed for any $a\in R$. |
| 분류기호 (MSC number(s)) |
16D25, 16N40, 16S50, 16S36, 16N60, 16N20 |
| 키워드(Keyword(s)) | Reflexive ideal, reflexively closed subset, semiprime ideal, N-reflexive ring |
| 강연 형태 (Language of Session (Talk)) |
Korean |