The ring A[X,Y;λ] and the SFT property.

التفاصيل البيبلوغرافية
العنوان:	The ring A[X,Y;λ] and the SFT property.
المؤلفون:	Dabbabi, Abdelamir, Benhissi, Ali
المصدر:	Communications in Algebra; 2024, Vol. 52 Issue 8, p3596-3607, 12p
مصطلحات موضوعية:	NOETHERIAN rings, TOPOLOGY
مستخلص:	Let A be a ring and λ : R ≥ 0 → R ≥ 0 be an increasing nonzero function. In this paper, we show that if A is a Noetherian ring with characteristic n ≠ 0 and lim k → + ∞ λ (k + 1) λ (k) = + ∞ , then A [ X , Y ; λ ] is an SFT ring. This result allows us to construct a nonNoetherian SFT ring which has some Noetherian completion. Also, we use the composite ring extension to construct many examples of such rings. Many examples are provided. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات:	Complementary Index

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