JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (12): 86-91.doi: 10.6040/j.issn.1671-9352.0.2021.789

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Outer McCoy condition for modules

LI Mei, CHENG Zhi   

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, Anhui, China
  • Published:2022-12-05

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Abstract: The notion of outer McCoy modules and linearly outer McCoy modules are introduced. Some properties of outer McCoy modules are established, and an example is given to show that a left McCoy module may not be a right outer McCoy module. A necessary and sufficient condition for outer McCoy modules over standardly graded algebras is also established.

Key words: McCoy module, outer McCoy module, linearly outer McCoy module, graded module

CLC Number: 

  • O153.3
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