On stable range one property and strongly $$\pi $$-regular rings

Abstract

In this paper, we study a rings with stable range one property, strongly $$\pi $$ -regular rings and rings satisfying $$\pi $$ -regular one stable range property. We study those properties in commutative rings, and investigate their transfer to various contexts of constructions such as pullbacks, trivial ring extensions and amalgamation of rings. Our results provide new classes of commutative rings satisfying those properties.