Rings of quotients of endomorphism rings of projective modules

Cunningham, R. S.; Rutter, Edgar; Turnidge, Darrell R.

doi:10.2140/pjm.1972.41.647

Cited by 22 publications

(9 citation statements)

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“…Since Q R is finitely generated and projective and Q s End Λ (Q R ) by [9, Theorem 7.1], j^~ is a TTF-class by [5,Proposition 1.4]. Finally, ^ is perfect by Stenstrom's characterization of left localizations.…”

Section: M/t(m))mentioning

confidence: 99%

“…This contrasts with the general construction using a direct limit argument [7]. 2* Finite projectors* In this section we examine the torsion class and ring of left quotients determined by a finitely generated projective module P B as in [5]. We ask when this torsion class is perfect.…”

Section: Let J7~ Be a Faithful Hereditary Torsion Class In R^€ Thenmentioning

confidence: 99%

“…We ask when this torsion class is perfect. We will need some background and notation; details may be found in [5].…”

Section: Let J7~ Be a Faithful Hereditary Torsion Class In R^€ Thenmentioning

confidence: 99%

“…The following corollary lists a few; proofs are straightforward and easily seen from [5], [13], [14], or Theorem 1.1, and are thus omitted. COROLLARY 2.3.…”

Section: 2 a Ring Of Left Quotients Q Of R Is A Finite Left Localizmentioning

confidence: 99%

“…3* Correspondence of torsion classes and quotient rings* In this section we characterize finite projectors by special properties of certain correspondences from [5]. We begin with some background on these correspondences.…”

Section: If R Is Semiperfect and P R Is A Perfect Projector Then P Bmentioning

confidence: 99%

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On finite left localizations

Cunningham¹

1974

Pacific J. Math.

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Section: M/t(m))mentioning

confidence: 99%

Section: Let J7~ Be a Faithful Hereditary Torsion Class In R^€ Thenmentioning

confidence: 99%

“…We ask when this torsion class is perfect. We will need some background and notation; details may be found in [5].…”

Section: Let J7~ Be a Faithful Hereditary Torsion Class In R^€ Thenmentioning

confidence: 99%

“…The following corollary lists a few; proofs are straightforward and easily seen from [5], [13], [14], or Theorem 1.1, and are thus omitted. COROLLARY 2.3.…”

Section: 2 a Ring Of Left Quotients Q Of R Is A Finite Left Localizmentioning

confidence: 99%

Section: If R Is Semiperfect and P R Is A Perfect Projector Then P Bmentioning

confidence: 99%

See 3 more Smart Citations