컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0275 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-03) Commutative Algebra and Related Topics (SS-03) |
| 발표시간(Time) | 20th-C-10:20 -- 10:40 |
| 영문제목 (Title(Eng.)) |
Some remarks on inert type extensions |
| 저자(Author(s)) |
Sangmin Chun1 Chung-Ang University1 |
| 초록본문(Abstract) | Let $R \subseteq S$ be an extension of commutative rings. We say that $R \subseteq S$ is strongly inert (resp., inert) if for nonzero $a, b \in S$, $ab \in R$ implies $a, b \in R$ (resp., there exists a unit $u \in S$ with $ua, u^{-1}b \in R$). We investigate strongly inert and inert extensions and various related extensions. Special emphasis is given to the relationship between factorization properties of $R$ and $S$. |
| 분류기호 (MSC number(s)) |
13B02, 13A05, 13A15, 13F15 |
| 키워드(Keyword(s)) | Strongly inert extension, inert extension, irreducible element |
| 강연 형태 (Language of Session (Talk)) |
Korean |