On strongly ∑-m-clean rings

On strongly ∑-m-clean rings

Let m be a positive integer such that m ≥ 2 . In this paper, we define two new classes of rings called strongly ∑ - m -clean ring and m -semiboolean ring which are natural generalizations of the concept of strongly m -clean [ 13 ] and semiboolean [ 11 ], respectively. We exhibit connections between...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2023, Vol.54 (3), p.778-788
1. Verfasser: Moutui, Moutu Abdou Salam
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Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Rings (mathematics)
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description Let m be a positive integer such that m ≥ 2 . In this paper, we define two new classes of rings called strongly ∑ - m -clean ring and m -semiboolean ring which are natural generalizations of the concept of strongly m -clean [ 13 ] and semiboolean [ 11 ], respectively. We exhibit connections between these rings and other related classes of rings. We examine the properties of these notions to various context of commutative ring extensions. The obtained results yield new original families of examples of rings subject to various ring theoretic properties.
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Rings (mathematics)
title On strongly ∑-m-clean rings
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