Full article: D4-objects in abelian categories: Transfer via functors Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Access provided by The …

We study the transfer of (dual) relative Rickart properties via functors between abelian
categories, and we deduce the transfer of (dual) relative Baer property. We also give …

Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …

We study the transfer via functors between abelian categories of the (dual) relative splitness
of objects with respect to a fully invariant short exact sequence. We mainly consider fully …

We construct an A∞-category D (C| B) from a given A∞-category C and its full subcategory
B. The construction is similar to a particular case of Drinfeld's construction of the quotient of …

We investigate the (unbounded) derived category of a differential Z-graded category (= DG
category). As a first application, we deduce a" triangulated analogue"(4.3) of a theorem of …

We introduce and study (dual) strongly relative Rickart objects in abelian categories. We
prove general properties, we analyze the behaviour with respect to (co) products, and we …

In this article we consider a graded version of category O. We reprove some results of
[Beilinson et al., J. Amer. Math. Soc. 9 (1996) 473–527] using a different approach …

We introduce relative CS-Rickart objects in abelian categories, as common generalizations
of relative Rickart objects and extending objects. We study direct summands and (co) …