class (cf.  and P roposition 3.3 below ), the local-global principle does not. hold even for embeddings of fi L et σ be a ring. autom orphism of E of W e h ave seen in th e proof of P roposition 2.1(2) th at E is a direct. su m of σ-inv ariant su
Catt\eorh'ity and stability of commuta ~ive rings 375 Proofl The idempotenIs of .. we get a finite -omposition series for R and thus R is left artinian (cf. [ 12]). Let R be a ring whose center C is indecomposable, and assume C/rad(C) is infinite.
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this feature provides some evidence bearing on the question of just how “Balkan” Daco-Romanian ave i 'you (all) have'). The forms are . this regard (cf. (12) and (13)) have not been such as to give all parts of its perfect and preterite.
IVe shall now restrict our consideration to the case of the Q's being equal,. 1. e., PAUL B. TAYLOR. Cf. (11). Cf. (12). The equations of continuity (8) become ulml (dF, 111. VI. The bearing of these results on pH determination are considered.
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