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Journal of Algebra | 1965

ON A THEOREM OF GOLDIE

Claudio Procesi; Lance W. Small

Abstract : The theorems proven are: (1) Let R be a semiprime (left) Goldie ring; then R has a left quotient ring Q; and (2) Q is a semisimple ring satisfying the descending chain condition on left ideals.


Israel Journal of Mathematics | 1973

The intersection of the powers of the radical in Noetherian P.I. rings

I.N Herstein; Lance W. Small

LetR be a ring and J its radical. DefineJ1=∩Jn, J2=∩J1n,…,… Jk=∩Jk−1n.... It is shown that in a ringR satisfying a polynomial identity and the ascending chain condition on ideals,Jk=0 for some appropriatek.


Journal of Algebra | 1966

Orders in artinian rings, II

Lance W. Small


Mathematische Zeitschrift | 1968

Endomorphism rings of modules over PI-algebras

Claudio Procesi; Lance W. Small


Journal of Algebra | 1975

P. I. Degrees and prime ideals

George M. Bergman; Lance W. Small


Journal of Algebra | 1966

Correction and addendum: “Orders in artinian rings”

Lance W. Small


Journal of Algebra | 1971

Localization in PI-rings

Lance W. Small


Journal of Algebra | 1971

An example in -rings

Lance W. Small


Journal of Algebra | 1971

Localization in -rings

Lance W. Small


Archive | 1994

A q - analogue for Virasoro algebra

Ellen Kirkman; Claudio Procesi; Lance W. Small

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Claudio Procesi

Sapienza University of Rome

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