Zobrazeno 1 - 10
of 164
pro vyhledávání: '"CRIVEI, SEPTIMIU"'
We investigate relative CS-Baer objects in abelian categories in relationship with other relevant classes of objects such as relative Baer objects, extending objects, objects having certain summand intersection properties and relative CS-Rickart obje
Externí odkaz:
http://arxiv.org/abs/2201.09930
Given any additive category $\mathcal{C}$ with split idempotents, pseudokernels and pseudocokernels, we show that a subcategory $\mathcal{B}$ is coreflective if, and only if, it is precovering, closed under direct summands and each morphism in $\math
Externí odkaz:
http://arxiv.org/abs/2109.05111
Autor:
Crivei, Septimiu, Radu, Simona Maria
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 several applications to Grothendieck categories and, in particul
Externí odkaz:
http://arxiv.org/abs/2104.03826
Autor:
Crivei, Septimiu, Radu, Simona Maria
We introduce (dual) relative CS-Rickart objects in abelian categories, as common generalizations of (dual) relative Rickart objects and extending (lifting) objects. We study direct summands and (co)products of (dual) relative CS-Rickart objects as we
Externí odkaz:
http://arxiv.org/abs/2007.11059
Publikováno v:
In Journal of Pure and Applied Algebra May 2023 227(5)
Publikováno v:
In Linear Algebra and Its Applications 1 February 2023 658:233-249
We introduce and study relatively divisible and relatively flat objects in exact categories in the sense of Quillen. For every relative cotorsion pair $(\mathcal{A},\mathcal{B})$ in an exact category $\mathcal{C}$, $\mathcal{A}$ coincides with the cl
Externí odkaz:
http://arxiv.org/abs/1810.11637
We continue our study of relatively divisible and relatively flat objects in exact categories in the sense of Quillen with several applications to exact structures on finitely accessible additive categories and module categories. We derive consequenc
Externí odkaz:
http://arxiv.org/abs/1810.11638
We introduce and investigate (dual) relative split objects with respect to a fully invariant short exact sequence in abelian categories. We compare them with (dual) relative Rickart objects, and we study their behaviour with respect to direct sums an
Externí odkaz:
http://arxiv.org/abs/1803.05060
Autor:
Crivei, Septimiu, Olteanu, Gabriela
We show how the theory of (dual) strongly relative Rickart objects may be employed in order to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian categories. For each of them, we prove general properties, we
Externí odkaz:
http://arxiv.org/abs/1803.02683