An annihilator condition on maximal ideals of composite hurwitz rings

Dong Kyu Kim; Jung Wook Lim

doi:10.14317/jami.2020.057

An annihilator condition on maximal ideals of composite hurwitz rings

Dong Kyu Kim
, Jung Wook Lim

Kyungpook National University

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

1 Scopus citations

Abstract

Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

Original language	English
Pages (from-to)	57-64
Number of pages	8
Journal	Journal of Applied Mathematics and Informatics
Volume	38
Issue number	1-2
DOIs	https://doi.org/10.14317/jami.2020.057
State	Published - 2020

Keywords

Annihilator
Composite Hur-witz polynomial ring
Composite Hurwitz series ring
Idempotent element
PS-ring

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10.14317/jami.2020.057

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title = "An annihilator condition on maximal ideals of composite hurwitz rings",

abstract = "Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.",

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year = "2020",

doi = "10.14317/jami.2020.057",

language = "English",

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T1 - An annihilator condition on maximal ideals of composite hurwitz rings

AU - Kim, Dong Kyu

AU - Lim, Jung Wook

PY - 2020

Y1 - 2020

N2 - Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

AB - Let R ⊆ T be an ascending chain of commutative rings with identity and H(R, T) (resp., h(R, T)) the composite Hurwitz series ring (resp., composite Hurwitz polynomial ring). In this article, we give some conditions for the rings H(R, T) and h(R, T) to be PS-rings.

KW - Annihilator

KW - Composite Hur-witz polynomial ring

KW - Composite Hurwitz series ring

KW - Idempotent element

KW - PS-ring

UR - https://www.scopus.com/pages/publications/85086481051

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DO - 10.14317/jami.2020.057

M3 - Article

AN - SCOPUS:85086481051

SN - 2734-1194

VL - 38

SP - 57

EP - 64

JO - Journal of Applied Mathematics and Informatics

JF - Journal of Applied Mathematics and Informatics

IS - 1-2

ER -

An annihilator condition on maximal ideals of composite hurwitz rings

Abstract

Keywords

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