Idempotent plethories

DOI10.1016/j.jalgebra.2016.06.008zbMath1371.13012arXiv1505.06493OpenAlexW3037030574MaRDI QIDQ2630881

Jesse Elliott

Publication date: 25 July 2016

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

Full work available at URL: https://arxiv.org/abs/1505.06493

zbMATH Keywords

Dedekind domainKrull domaincommutative ringintegral domainmonadinteger-valued polynomialcomonadbiringplethoryEilenberg-Moore categorytripletall-wraith monadbinomial ringbiring triple

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) General commutative ring theory (13A99) Eilenberg-Moore and Kleisli constructions for monads (18C20) Coalgebras and comodules; corings (16T15) Associative rings and algebras with additional structure (16W99)

Related Items (3)

On the ring of D-valued R-polynomials over E ⋮ A Survey on Flatness in Integer-Valued Polynomial Rings ⋮ On the module structure of the integer-valued polynomial rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Plethystic algebra
• The basic geometry of Witt vectors. I: The affine case
• Idempotent monads and \(\star \)-functors
• \(\lambda\)-rings and the representation theory of the symmetric group
• Integral domains in which each t-ideal is divisorial
• Unital rings whose additive endomorphisms commute
• Krull rings
• Mori domains of integer-valued polynomials
• Polynomial mappings
• Integer-valued polynomials and Prüfer \(v\)-multiplication domains
• Universal properties of integer-valued polynomial rings
• Binomial rings, integer-valued polynomials, and \(\lambda\)-rings
• The core of a ring
• Integer-Valued Polynomials
• Integer-Valued Polynomial Rings,t-Closure, and Associated Primes
• Integer-Valued Polynomials, Prufer Domains, and Localization
• Integer-valued polynomials on Krull rings
• Birings and plethories of integer-valued polynomials
• Dérivées et différences divisées à valeurs entières
• Epimorphs and Dominions of Dedekind Domains
• PRESENTATIONS AND MODULE BASES OF INTEGER-VALUED POLYNOMIAL RINGS
• Integer-valued polynomials over Krull-type domains and Prüfer $v$-multiplication domains
• Some Results on v-Multiplication Rings
• Rings of Krull type.
• On Fundamental Constructions and Adjoint Functors
• Representable Functors and Operations on Rings
• Integer-valued polynomials on commutative rings and modules

This page was built for publication: Idempotent plethories