Title of article :
Nilpotent Category of Monoidal Category and Tensor–Hom Adjunction
Author/Authors :
Ni ، Yan’en School of Mathematical Sciences - Shanghai Jiao Tong University , Tan ، Yunfei School of Mathematical Sciences - Shanghai Jiao Tong University , Yi ، Yunfei School of Mathematical Sciences - Shanghai Jiao Tong University , Zhang ، Yuehui School of Mathematical Sciences - Shanghai Jiao Tong University
Abstract :
Let C be an abelian monoidal category. It is proved that the nilpotent category Nil (C) of C admits almost monoidal structure except the unit axiom. As an application, it is proved that Hom and Tensor functors exist over Nil (C) and tensor-hom adjunction remains true over the nilpotent category of the category of finite-dimensional vector spaces, which develops some recent results on this topic.
Keywords :
Abelian category , Nilpotent category , Monoidal category , Self , adjoint functor , Tensor–hom adjunction
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
