Examples of Armendariz Rings

Ramon Antoine

doi:10.1080/00927870903337968

Examples of Armendariz Rings

Ramon Antoine

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

20 Citas (Scopus)

Resumen

We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.

Idioma original	Inglés
Páginas (desde-hasta)	4130-4143
Publicación	Communications in Algebra
Volumen	38
N.º	11
DOI	https://doi.org/10.1080/00927870903337968
Estado	Publicada - 1 nov 2010

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title = "Examples of Armendariz Rings",

abstract = "We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. {\textcopyright} 2010 Copyright Taylor and Francis Group, LLC.",

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AB - We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.

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Examples of Armendariz Rings

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