Geodesic
BONGARTZ τ-COMPLEMENTS OVER SPLIT-BY-NILPOTENT EXTENSIONS
Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 461-470

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DOI

Let C be a finite dimensional algebra with B a split extension by a nilpotent bimodule E, and let M be a τC-rigid module with U its Bongartz τC-complement. If the induced module, M ⊗CB, is τB-rigid, we give a necessary and sufficient condition for U ⊗CB to be its Bongartz τB-complement. If M is τB-rigid, we again provide a necessary and sufficient condition for U ⊗CB to be its Bongartz τB-complement. 
ZITO, STEPHEN. BONGARTZ τ-COMPLEMENTS OVER SPLIT-BY-NILPOTENT EXTENSIONS. Glasgow mathematical journal, Tome 61 (2019) no. 2, pp. 461-470. doi: 10.1017/S0017089518000290
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     author = {ZITO, STEPHEN},
     title = {BONGARTZ {\ensuremath{\tau}-COMPLEMENTS} {OVER} {SPLIT-BY-NILPOTENT} {EXTENSIONS}},
     journal = {Glasgow mathematical journal},
     pages = {461--470},
     year = {2019},
     volume = {61},
     number = {2},
     doi = {10.1017/S0017089518000290},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000290/}
}
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