Glasnik matematički, Vol. 47 No. 2, 2012.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.47.2.06
Exchange rings with many units
Huanyin Chen
; Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China
Sažetak
A ring R satisfies Goodearl-Menal condition provided that for any x,y R, there exists a u U(R) such that x-u,y-u-1 U(R). If R/J(R) is an exchange ring with primitive factors artinian, then R satisfies Goodearl-Menal condition if, and only if it has no homomorphic images Z/2Z, Z/3Z, M2 (Z/2Z). Exchange rings satisfying the primitive criterion are also studied.
Ključne riječi
Goodearl-Menal condition; exchange ring; semilocal ring
Hrčak ID:
93944
URI
Datum izdavanja:
19.12.2012.
Posjeta: 752 *