컨텐츠 시작
학술대회/행사
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| 제출번호(No.) | 0252 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Algebra (AL) |
| 영문제목 (Title(Eng.)) |
McCoy modules and related modules over commutative rings |
| 저자(Author(s)) |
Dan Anderson1, Sangmin Chun2 University of Iowa1, Chung Ang University2 |
| 초록본문(Abstract) | Let $M$ be a left $R$-module. Then $M$ is a McCoy (resp., dual McCoy) module if for nonzero $f (X) \in R[X]} and $m(X)\in M[X]$, $f (X)m(X) = 0$ implies there exists a nonzero $r\in R$ (resp., $m \in M$) with $rm(X) = 0$ (resp., $f (X)m = 0$). We show that for $R$ commutative every $R$-module is dual McCoy, but give an example of a non-McCoy module. A number of other results concerning (dual) McCoy modules as well as arithmetical, Gaussian, and Armendariz modules are given. |
| 분류기호 (MSC number(s)) |
Primary 13C13; Secondary 16D80 |
| 키워드(Keyword(s)) | arithmetical module, Armendariz module, dual McCoy module, Gaussian module, McCoy module |
| 강연 형태 (Language of Session (Talk)) |
English |