Results 161 to 170 of about 94,018 (202)

Corrections to “on right adjoints to exponential functors”

Journal of Pure and Applied Algebra, 1989
openaire   +2 more sources

Applications of hyperhomology to adjoint functors [PDF]

Communications in Algebra, 2021
Hyperhomology is applied to give explicit constructions of left or right adjoint functors of some inclusions between unbounded homotopy categories of additive categories arising from cotorsion pairs in abelian categories.
Hongxing Chen
semanticscholar   +2 more sources

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Equivalences Induced by Adjoint Functors

Communications in Algebra, 2003
Abstract Let 𝒜 and ℬ be two Grothendieck categories, R : 𝒜 → ℬ, L : ℬ → 𝒜 a pair of adjoint functors, S ∈ ℬ a generator, and U = L(S). U defines a hereditary torsion class in 𝒜, which is carried by L, under suitable hypotheses, into a hereditary torsion class in ℬ. We investigate necessary and sufficient conditions which
Ciprian Modoi
semanticscholar   +3 more sources

Adjoint Functors and Representation Dimensions

Acta Mathematica Sinica, English Series, 2006
We study the global dimensions of the coherent functors over two categories that are linked by a pair of adjoint functors. This idea is then exploited to compare the representation dimensions of two algebras. In particular, we show that if an Artin algebra is switched from the other, then they have the same representation dimension.
Changchang Xi
semanticscholar   +3 more sources

ORDER EXTENSIONS AS ADJOINT FUNCTORS

Quaestiones Mathematicae, 1986
A standard extension (resp. standard completion) is a function Z assigning to each poset P a (closure) system ZP of subsets such that x ⋚ y iff x belongs to every Z e ZP with y e Z. A poset P is Z -complete if each Z e 2P has a join in P. A map f: P → P′
M. Erné
semanticscholar   +3 more sources

Adjoint Functors and Adjoint Situations

, 2017
S. Wagh
semanticscholar   +2 more sources

Adjoint Functors on the Representation Category of OI

Algebras and Representation Theory, 2021
In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving injections.
Wee Liang Gan, Liping Li
semanticscholar   +1 more source