A note on weak regularity in general rings
详细信息    查看全文
  • 作者:D. I. C. Mendes (1)
  • 关键词:Weak regularity ; Prime ideal ; Strongly prime ideal ; 2 ; Primal ring ; Reduced ring ; Primary 16E50 ; Secondary 16N60 ; 16N20
  • 刊名:Beitr?ge zur Algebra und Geometrie / Contributions to Algebra and Geometry
  • 出版年:2014
  • 出版时间:October 2014
  • 年:2014
  • 卷:55
  • 期:2
  • 页码:365-369
  • 全文大小:114 KB
  • 参考文献:1. Birkenmeier, G.F., Kim, J.Y., Park, J.K.: A connection between weak regularity and the simplicity of prime factor rings. Proc. Am. Math. Soc. 122(1), 53鈥?8 (1994) CrossRef
    2. Birkenmeier, G.F., Kim, J.Y., Park, J.K.: Regularity conditions and the simplicity of prime factor rings. J. Pure Appl. Algebra 115, 213鈥?30 (1997)
    3. Divinsky, N.J.: Rings and Radicals. Univ. of Toronto Press, Toronto (1965)
    4. Fisher, J.W., Snider, R.L.: On the von Neumann regularity of rings with regular prime factor rings. Pac. J. Math. 54(1), 135鈥?44 (1974)
    5. Heatherly, H.E., Tucci, R.P.: Right weakly regular rings: a survey. Ring and Module Theory (Trends in Mathematics), pp. 115鈥?23 (2010)
    6. Hong, C.Y., Jeon, Y.C., Kim, K.H., Kim, N.K., Lee, Y.: Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings. J. Pure Appl. Algebra 207, 565鈥?74 (2006) CrossRef
    7. Hong, C.Y., Kim, N.K., Kwak, T.K.: On rings whose prime ideals are maximal. Bull. Korean Math. Soc. 37, 1鈥? (2000)
    8. Ramamurthi, V.S.: Weakly regular rings. Can. Math. Bull. 16(3), 317鈥?21 (1973) CrossRef
    9. Shin, G.: Prime ideals and sheaf representation of a pseudo symmetric ring. Trans. Am. Math. Soc. 184, 43鈥?0 (1973) CrossRef
    10. Tuganbaev, A.: Rings Close to Regular. Kluwer Academic Publishers, Boston (2002) CrossRef
  • 作者单位:D. I. C. Mendes (1)

    1. Department of Mathematics, University of Beira Interior, Covilha, Portugal
  • ISSN:2191-0383
文摘
We investigate weak regularity in general rings. Some well known results on left weakly regular rings with identity are extended to left weakly regular rings which do not necessarily have identity.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700