摘要
Let M be a right R-module and S = End_R(M). We call M a K -extending module if for every element φ ∈ S, Kerφ is essential in a direct summand of M. In this paper we investigate these modules. We give a characterization of K -extending modules. We prove that if M is a projective self-generator module, then M is a K -extending module and every finitely generated projective right ideal of S is a summand if and only if S is semiregular and ∆(M) = Jac(S), where ∆(M) = { f ∈ S | Ker f ≤^e M} if and only if M is Z(M)-I-lifting.
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- Lim, T. C. (1999). ON MODULI OF k-CONVEXITY. Abstract and Applied Analysis, (1999), 243-247. https://doi.org/10.1155/S1085337599000202
- Huang, L. S. (2013). A Study of Fast Modular Exponentiation [doctoral dissertation, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2013.01286
- Lin, C. Y. (2012). Efficient Algorithms for Determining k-Most Demanding/Favorite Products [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-2002201315380422
- JR., D. P. P. (1998). ON MODULES OF CONTINUOUS LINEAR MAPPINGS. International Journal of Mathematics and Mathematical Sciences, 1998(), 197-198. https://doi.org/10.1155/S016117129800026X
- 王栢村、張年華、黃裕仁、張佐銘（2010）。By Experimental Modal Analysis。機械技師學刊，3(2)，14-19。https://doi.org/10.6208/JPME-2010-02-03