## Abstract

We prove that there is at most one algebraic model for modules over the $K\left(1\right)$-local sphere at odd primes that retains some monoidal information.

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Show Summary Details# A case of monoidal uniqueness of algebraic models

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- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
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- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
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- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for ()()
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙ: Some curious facts
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- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of -functions [Forum Math. 26 (2014), 523–546]

Constanze Roitzheim

- School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, Kent CT2 7NF, UK
**Other articles by this author:**- De Gruyter OnlineGoogle Scholar

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Get Access to Full TextWe prove that there is at most one algebraic model for modules over the $K\left(1\right)$-local sphere at odd primes that retains some monoidal information.

Keywords: Homotopical algebra; stable homotopy theory

**Received**: 2013-07-30

**Revised**: 2014-05-01

**Published Online**: 2014-07-16

**Published in Print**: 2015-11-01

**Citation Information: **Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2013-0126.

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- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
- On a question of Gillespie
- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
- R-groups, elliptic representations, and parameters for GSpin groups
- The least common multiple of consecutive quadratic progression terms
- Hybrid bounds for quadratic Weyl sums and arithmetic applications
- Invariants of coinvariant algebras
- Boundedness of certain singular integrals along surfaces on Triebel–Lizorkin spaces
- Distinction of the Steinberg representation II: An equality of characters
- Perturbations of functional inequalities for Lévy type Dirichlet forms
- Decomposable Leavitt path algebras for arbitrary graphs
- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for Bi(K)Bi(K*)
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙℂ2: Some curious facts
- Homological aspects of the dual Auslander transpose
- Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546]

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