Geodesic
Effective ring
Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 149-156

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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.
Keywords: Bezout ring, exchange ring, clean ring, effective ring, elementary divisor ring, idempotent of stable range 1, neat ring. 
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     author = {B. V. Zabavsky and B. M. Kuznitska},
     title = {Effective ring},
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     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_18_1_a12/}
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B. V. Zabavsky; B. M. Kuznitska. Effective ring. Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 149-156. http://geodesic.mathdoc.fr/item/ADM_2014_18_1_a12/