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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.3
- 수록면
- 291 - 299 (9page)
- DOI
- 10.4134/BKMS.b220367
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초록· 키워드
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We study some factorization properties of the idealization $\idealztn{R}{M}$ of a module $M$ in a commutative ring $R$ which is not necessarily a domain. We show that $\idealztn{R}{M}$ is ACCP if and only if $R$ is ACCP and $M$ satisfies ACC on its cyclic submodules. We give an example to show that the BF property is not necessarily preserved in idealization, and give some conditions under which $\idealztn{R}{M}$ is a BFR. We also characterize the idealization rings which are UFRs.
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