Geodesic
DIFFERENTIAL GRADED ENDOMORPHISM ALGEBRAS, COHOMOLOGY RINGS AND DERIVED EQUIVALENCES
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 557-573

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper, we will consider derived equivalences for differential graded endomorphism algebras by Keller's approaches. First, we construct derived equivalences of differential graded algebras which are endomorphism algebras of the objects from a triangle in the homotopy category of differential graded algebras. We also obtain derived equivalences of differential graded endomorphism algebras from a standard derived equivalence of finite dimensional algebras. Moreover, under some conditions, the cohomology rings of these differential graded endomorphism algebras are also derived equivalent. Then we give an affirmative answer to a problem of Dugas (A construction of derived equivalent pairs of symmetric algebras, Proc. Amer. Math. Soc. 143 (2015), 2281–2300) in some special case. 
PAN, SHENGYONG; PENG, ZHEN; ZHANG, JIE. DIFFERENTIAL GRADED ENDOMORPHISM ALGEBRAS, COHOMOLOGY RINGS AND DERIVED EQUIVALENCES. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 557-573. doi: 10.1017/S0017089518000368
@article{10_1017_S0017089518000368,
     author = {PAN, SHENGYONG and PENG, ZHEN and ZHANG, JIE},
     title = {DIFFERENTIAL {GRADED} {ENDOMORPHISM} {ALGEBRAS,} {COHOMOLOGY} {RINGS} {AND} {DERIVED} {EQUIVALENCES}},
     journal = {Glasgow mathematical journal},
     pages = {557--573},
     year = {2019},
     volume = {61},
     number = {3},
     doi = {10.1017/S0017089518000368},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000368/}
}
TY  - JOUR
AU  - PAN, SHENGYONG
AU  - PENG, ZHEN
AU  - ZHANG, JIE
TI  - DIFFERENTIAL GRADED ENDOMORPHISM ALGEBRAS, COHOMOLOGY RINGS AND DERIVED EQUIVALENCES
JO  - Glasgow mathematical journal
PY  - 2019
SP  - 557
EP  - 573
VL  - 61
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000368/
DO  - 10.1017/S0017089518000368
ID  - 10_1017_S0017089518000368
ER  - 
%0 Journal Article
%A PAN, SHENGYONG
%A PENG, ZHEN
%A ZHANG, JIE
%T DIFFERENTIAL GRADED ENDOMORPHISM ALGEBRAS, COHOMOLOGY RINGS AND DERIVED EQUIVALENCES
%J Glasgow mathematical journal
%D 2019
%P 557-573
%V 61
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000368/
%R 10.1017/S0017089518000368
%F 10_1017_S0017089518000368

Cité par Sources :