Almost multiplicative sets

Hyung Tae Baek; Jung Wook Lim

doi:10.14317/jami.2021.259

Almost multiplicative sets

Hyung Tae Baek, Jung Wook Lim

Kyungpook National University

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

Abstract

Let R be a commutative ring with identity and let S be a nonempty subset of R. We define S to be an almost multiplicative subset of R if for each a, b ∈ S, there exist integers m, n ≥ 1 such that a^mbⁿ ∈ S. In this article, we study some utilization of almost multiplicative subsets.

Original language	English
Pages (from-to)	259-266
Number of pages	8
Journal	Journal of Applied Mathematics and Informatics
Volume	39
Issue number	3-4
DOIs	https://doi.org/10.14317/jami.2021.259
State	Published - 2021

Keywords

Almost multiplicative set
Anti-Archimedean
S-finite
S-Noetherian ring

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10.14317/jami.2021.259

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title = "Almost multiplicative sets",

abstract = "Let R be a commutative ring with identity and let S be a nonempty subset of R. We define S to be an almost multiplicative subset of R if for each a, b ∈ S, there exist integers m, n ≥ 1 such that ambn ∈ S. In this article, we study some utilization of almost multiplicative subsets.",

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year = "2021",

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AU - Baek, Hyung Tae

AU - Lim, Jung Wook

PY - 2021

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AB - Let R be a commutative ring with identity and let S be a nonempty subset of R. We define S to be an almost multiplicative subset of R if for each a, b ∈ S, there exist integers m, n ≥ 1 such that ambn ∈ S. In this article, we study some utilization of almost multiplicative subsets.

KW - Almost multiplicative set

KW - Anti-Archimedean

KW - S-finite

KW - S-Noetherian ring

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M3 - Article

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JO - Journal of Applied Mathematics and Informatics

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ER -

Almost multiplicative sets

Abstract

Keywords

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