湖南师范大学自然科学学报
湖南師範大學自然科學學報
호남사범대학자연과학학보
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
2009年
3期
3-6
,共4页
Morita系统%广义稳定环%置换环
Morita繫統%廣義穩定環%置換環
Morita계통%엄의은정배%치환배
Morita context%generalized stable ring%exchange ring.
T为Morita系统(A,8,M,N,ψ,φ)的Morita环.若A,B分别是关于理想I,J的广义稳定环,当Imψ Rad(A)或者IMφ Rad(B),则T是关于T(I,J)的广义稳定环.
T為Morita繫統(A,8,M,N,ψ,φ)的Morita環.若A,B分彆是關于理想I,J的廣義穩定環,噹Imψ Rad(A)或者IMφ Rad(B),則T是關于T(I,J)的廣義穩定環.
T위Morita계통(A,8,M,N,ψ,φ)적Morita배.약A,B분별시관우이상I,J적엄의은정배,당Imψ Rad(A)혹자IMφ Rad(B),칙T시관우T(I,J)적엄의은정배.
Let T be the Morita ring of a Morita context (A,B,M,N,ψ,φ). If A and B are general-ized stable rings for ideals I and J respectively, it is shown that T is a generalized stable ring for T(I,J) in case Inψ Rad(A) or Imφ Rad(B).
