2017
Том 69
№ 9

All Issues

Rings of almost unit stable rank 1

Vasyunyk I. S., Zabavskii B. V.

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Abstract

We introduce the notion of a ring of almost unit stable rank 1 as generalization of a ring of unit stable rank 1. We prove that the ring of almost unit stable rank 1 with the nonzero Jacobson radical is a ring of unit stable rank 1 and is also a 2-good ring. We introduce the notion of an almost 2-good ring. We show that an adequate domain is an almost 2-good ring.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 977-980.

Citation Example: Vasyunyk I. S., Zabavskii B. V. Rings of almost unit stable rank 1 // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 840-843.

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