A new way to iterate brzeziński crossed products

Leonard Dăuş; Florin Panaite

doi:10.4064/cm142-1-2

A new way to iterate brzeziński crossed products

Leonard Dăuş, Florin Panaite

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

If A ⊗_R,σ V and A ⊗_P,ν W are two Brzeziński crossed products and Q : W ⊗ V → V ⊗ W is a linear map satisfying certain properties, we construct a Brzeziński crossed product A⊗_S,θ (V ⊗W). This construction contains as a particular case the iterated twisted tensor product of algebras.

Original language	English
Pages (from-to)	51-60
Number of pages	10
Journal	Colloquium Mathematicum
Volume	142
Issue number	1
DOIs	https://doi.org/10.4064/cm142-1-2
Publication status	Published - 2016

Keywords

Brzeziński crossed product
Twisted tensor product

ASJC Scopus subject areas

General Mathematics

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10.4064/cm142-1-2

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abstract = "If A ⊗R,σ V and A ⊗P,ν W are two Brzezi{\'n}ski crossed products and Q : W ⊗ V → V ⊗ W is a linear map satisfying certain properties, we construct a Brzezi{\'n}ski crossed product A⊗S,θ (V ⊗W). This construction contains as a particular case the iterated twisted tensor product of algebras.",

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author = "Leonard D{\u a}u{\c s} and Florin Panaite",

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AU - Panaite, Florin

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2016.

PY - 2016

Y1 - 2016

N2 - If A ⊗R,σ V and A ⊗P,ν W are two Brzeziński crossed products and Q : W ⊗ V → V ⊗ W is a linear map satisfying certain properties, we construct a Brzeziński crossed product A⊗S,θ (V ⊗W). This construction contains as a particular case the iterated twisted tensor product of algebras.

AB - If A ⊗R,σ V and A ⊗P,ν W are two Brzeziński crossed products and Q : W ⊗ V → V ⊗ W is a linear map satisfying certain properties, we construct a Brzeziński crossed product A⊗S,θ (V ⊗W). This construction contains as a particular case the iterated twisted tensor product of algebras.

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KW - Twisted tensor product

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A new way to iterate brzeziński crossed products

Abstract

Keywords

ASJC Scopus subject areas

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