Аннотация:
In this paper we will investigate commutative Bezout domains whose finite homomorphic images are semipotent rings. Among such commutative Bezout rings we consider a new class of rings and call them an effective rings. Furthermore we prove that effective rings are elementary divisor rings.
Ключевые слова:Bezout ring, exchange ring, clean ring, effective ring, elementary divisor ring, idempotent of stable range 1, neat ring.
Полный текст:
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