Full embeddings of almost split sequences over split-by-nilpotent extensions
Assem, Ibrahim ; Zacharia, Dan
Colloquium Mathematicae, Tome 79 (1999), p. 21-31 / Harvested from The Polish Digital Mathematics Library
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Let R be a split extension of an artin algebra A by a nilpotent bimodule AQA, and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if HomA(Q,τAM) = 0 and M⊗AQ=0.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:210727 
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     author = {Ibrahim Assem and Dan Zacharia},
     title = {Full embeddings of almost split sequences over split-by-nilpotent extensions},
     journal = {Colloquium Mathematicae},
     volume = {79},
     year = {1999},
     pages = {21-31},
     zbl = {0942.16022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p21bwm}
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Assem, Ibrahim; Zacharia, Dan. Full embeddings of almost split sequences over split-by-nilpotent extensions. Colloquium Mathematicae, Tome 79 (1999) pp. 21-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p21bwm/

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