When is the Diagonal Functor Frobenius?

DOI10.1080/00927871003639311zbMath1223.18001arXiv0902.4012OpenAlexW2103785466MaRDI QIDQ2995330

Alexandru Chirvasitu

Publication date: 20 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4012

zbMATH Keywords

right adjoint functorleft adjoint functorFrobenius functorcomplete and cocomplete categorydiagonal functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Functor categories, comma categories (18A25) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Categories of sets, characterizations (18B05)

Related Items (1)

Ordinals in Frobenius monads

Cites Work

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• Gradings of finite support. Application to injective objects
• When ∏ is Isomorphic to ⊕
• Adjoint and Frobenius Pairs of Functors for Corings
• Frobenius Extensions of Corings
• Frobenius functors: applications
• Doi-Hopf modules, Yetter-Drinfel’d modules and Frobenius type properties

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