39 citations · 109 across the 13 of their papers we have counts for
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math.CT2020★ 8 cited
Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories
Souheila Hassoun, Amit Shah
It was shown recently that the heart of a twin cotorsion pair ((S,T),(U,V)) on an extriangulated category is semi-abelian. We provide a sufficient condition for the heart to be int…
math.CT2020★ 6 cited
Examples and non-examples of integral categories and the admissible intersection property
Souheila Hassoun, Amit Shah, Sven-Ake Wegner
Integral categories form a sub-class of pre-abelian categories whose systematic study was initiated by Rump in 2001. In the first part of this article we determine whether several…
math.CT2020★ 39 cited
Transport of structure in higher homological algebra
Raphael Bennett-Tennenhaus, Amit Shah
We fill a gap in the literature regarding `transport of structure' for (n+2)-angulated, n-exact, n-abelian and n-exangulated categories appearing in (classical and higher) homologi…