Results 41 to 50 of about 110,236 (220)

Resolving resolution dimensions in triangulated categories

open access: yesOpen Mathematics, 2021
Let T{\mathcal{T}} be a triangulated category with a proper class ξ\xi of triangles and X{\mathcal{X}} be a subcategory of T{\mathcal{T}}. We first introduce the notion of X{\mathcal{X}}-resolution dimensions for a resolving subcategory of T{\mathcal{T}}
Ma Xin, Zhao Tiwei
doaj   +1 more source

Resolution Dimension Relative to Resolving Subcategories in Extriangulated Categories

open access: yesMathematics, 2021
Let (C,E,s) be an extriangulated category with a proper class ξ of E-triangles and X a resolving subcategory of C. In this paper, we introduce the notion of X-resolution dimension relative to the subcategory X in C, and then give some descriptions of ...
Lingling Tan, Li Liu
doaj   +1 more source

Categorical Equivalences from State-Effect Adjunctions [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
From every pair of adjoint functors it is possible to produce a (possibly trivial) equivalence of categories by restricting to the subcategories where the unit and counit are isomorphisms.
Robert Furber
doaj   +1 more source

On Adjoint Dynamical Systems [PDF]

open access: yes, 1973
Transformations of dynamical systems and organismic structures are discussed in terms of adjoint, simple adjoint and weak adjoint functors of organismic supercategories during development and evolution of organisms on markedly different timescales.
Baianu, Prof. Dr. I. C.   +1 more
core   +1 more source

Frobenius reciprocity and the Haagerup tensor product [PDF]

open access: yes, 2017
In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints.
Crisp, Tyrone
core   +3 more sources

The monoidal Eilenberg-Moore construction and bialgebroids [PDF]

open access: yes, 2002
Monoidal functors U:C --> M with left adjoints determine, in a universal way, monoids T in the category of oplax monoidal endofunctors on M. Such monads will be called bimonads.
Szlachanyi, K.
core   +3 more sources

Topological spaces versus frames in the topos of $M$-sets [PDF]

open access: yesCategories and General Algebraic Structures with Applications
In this paper we study topological spaces, frames, and their confrontation in the presheaf topos of $M$-sets for a monoid $M$. We introduce the internalization, of the frame of open subsets for topologies, and of topologies of points for frames, in our ...
Mojgan Mahmoudi, Amir H. Nejah
doaj   +1 more source

Modules in Monoidal Model Categories [PDF]

open access: yes, 2006
This paper studies the existence of and compatibility between derived change of ring, balanced product, and function module derived functors on module categories in monoidal model ...
Dwyer   +13 more
core   +3 more sources

Separation Axioms in Intuitionistic Fuzzy Topological Spaces

open access: yesAdvances in Fuzzy Systems, 2012
In this paper we have studied separation axioms , in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functors and and observe that is left adjoint to .
Amit Kumar Singh, Rekha Srivastava
doaj   +1 more source

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