为了对左拟morphic环进行进一步研究,讨论了左拟morphic群环的性质,并主要给出了以下结论:如果群环RG是一个左拟morphic环,则R是左拟morphic环,G是局部有限群；若G是局部有限群,那么群环RG是左拟morphic环当且仅当对任意的x∈RG,存在G的有限子群H使得x在RH中是左拟morphic的；设G=HK是一个有限子群H与有限子群K的半直积,如果RG是左拟morphic环,那么RK也是左拟morphic环.
[1] Nicholson WK., Campos ES.. Rings with the dual of the isomorphism theorem [J]. Journal of Algebra 2004, 1(1).
[2] NICHOLSON W K, SáNCHEZ C E. Principal rings with the dual of the isomorphism theorem [J]. Glasgow Mathematical Journal 2004, 46.
[3] Nicholson WK, Campos ES. Morphic modules [J]. Communications in algebra 2005, 8(8).
[4] Jianlong Chen, Yiqiang Zhou. MORPHIC RINGS AS TRIVIAL EXTENSIONS [J]. Glasgow Mathematical Journal 2005, 1(1).
[5] CHEN Jianlong, LI Yuanlin, ZHOU Yiqiang. Constructing morphic rings, advances in ring theory [A]. N J 2005.
[6] Chen JL, Zhou YQ. Extensions of injectivity and coherent rings [J]. Communications in algebra 2006, 1(1).
[7] CHEN Jianlong, LI Y L, ZHOU Yiqiang. Morphic group ring [J]. Journal of Pure and Applied Algebra 2006, 205.
[8] Lee TK, Zhou YQ. Morphic rings and unit regular rings [J]. Journal of pure and applied algebra 2007, 2(2).
[9] Camillo V, Nicholson WK, Wang Z. LEFT QUASI-MORPHIC RINGS [J]. Journal of algebra and its applications 2008, 6(6).
[10] Zhu HY, Ding NQ. Generalized morphic rings and their applications [J]. Communications in algebra 2007, 9(9).
[11] NICHOLSON W K, YOUSIF M F. Quasi-Frobenius rings [M]. Cambridge:Cambridge University Press 2003.
[12] WARFIELD R B, J R. Purity and algebraic compactness for modules [J]. Pacific Journal of Mathematics 1969, 28(03).
[13] CONNELL I G. On the group rings [J]. Journal of Mathematics 1963, 15.
