- 期刊
- OpenAccess
Properties of Domainlike Rings
並列摘要
In this paper we will examine properties of and relationships between rings that share some properties with integral domains, but whose definitions are less restrictive. If R is a commutative ring with identity, we call R a domainlike ring if all zero-divisors of R are nilpotent, which is equivalent to (0) being primary. We exhibit properties of domainlike rings, and we compare them to présimplifiable rings and (hereditarily) strongly associate rings. Further, we consider idealizations, localizations, zero-divisor graphs, and ultraproducts of domainlike rings.
並列關鍵字
無資料被引用紀錄
李勻鑲（2009）。毛細管區帶電泳結合線上直接光解產生ABTS陽離子自由基後衍生系統進行掃除自由基偵測之研究〔碩士論文，國立清華大學〕。華藝線上圖書館。https://doi.org/10.6843/NTHU.2009.00778
Tan, W. C. (2017). 石墨烯薄膜應用於新穎光電元件之特性研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201700706
延伸閱讀
- BELL, H. E. (1988). SOME CONDITIONS FOR FINITENESS OF A RING. International Journal of Mathematics and Mathematical Sciences, 1988(), 239-242. https://doi.org/10.1155/S0161171288000286
- Ghanem, M., & Ezeh, H. A. (2011). Two New Types of Rings Constructed from Quasiprime Ideals. International Journal of Mathematics and Mathematical Sciences, 2011(), 724-732-060. https://doi.org/10.1155/2011/473413
- GUPTA, V. (1994). A RESULT OF COMMUTATIVITY OF RINGS. International Journal of Mathematics and Mathematical Sciences, 1994(), 65-72. https://doi.org/10.1155/S0161171294000104
- Aly, F. S., & Mestady, M. O. A. (2012). On g-Semisymmetric Rings. ISRN Algebra, (), 97-105. https://doi.org/10.5402/2012/415207
- Jr., E. F. C. (2010). Properties of Slender Rings. International Journal of Mathematics and Mathematical Sciences, 2010(), 53-62. https://doi.org/10.1155/2010/162464