Locally finite representations of algebrasFootnote^∗

^∗Research supported by DGICYT (PB94-0791) and by a H.CM. grant CHRX-CT93-0091)

References

• Barou , G. and Malliavin , M.P. 1985 . Sur la résolution injective minimale de l’algèbre enveloppante d’une algèbre de Lie résoluble . J. Pure Appl. Algebra , 37 : 1 – 25 .
   Google Scholar
• Bell , A.D. 1988 . “ Notes on localization in noncommutative noethenan rings ” . In Cuadernos de Álgebra , Vol. 9 , Universidad de Granada .
   Google Scholar
• Björk , J.E. 1987 . Filtered noetherian rings, Noetherian Rings And their Applications. Mathematical Surveys and Monographs . American Math. Soc , 24 : 59 – 97 .
   Google Scholar
• Brown , K.A. and Goodearl , K.R. 1995 . Prime spectra of quantum linear-groups , University of Glasgow .
   Google Scholar
• Bueso , J.L. , Jara , P. and Verschoren , A. 1995 . “ Compatibility, stability and sheaves ” . In Pure and Applied Mathematics , Vol. 185 , Marcel-Dekker . A Series of Monographs and Textbooks
   Google Scholar
• Chin , W. and Musson , I.M. 1994 . Hopf algebra duality, injective modules and quantum groups . Comm. Algebra , 22 : 4661 – 4692 .
   Web of Science ®Google Scholar
• Doi , Y. 1981 . Homological coalgebra . J. Math. Soc. Japan , 33 : 31 – 50 .
   Web of Science ®Google Scholar
• Goodearl , K.R. and Letzter , E.S. . Prime factor algebras of the coordinate ring of quantum matrices . Proc. Amer. Math. Soc . Vol. 121 , pp. 1017 – 1025 .
   Google Scholar
• Humphreys , J.E. 1972 . “ Introduction to Lie algebras and representation theory ” . In Graduate Texts in Mathematics , Vol. 9 , Springer-Verlag .
   Google Scholar
• Iwanaga , Y. 1979 . On rings with finite self injectwe dimension . Comm. Algebra , 7 : 393 – 414 .
   Web of Science ®Google Scholar
• Jategaonkar , A.V. 1986 . Localization in noetherian rings , Cambridge Univ. Press .
   Google Scholar
• Levasseur , T. . Complexe bidualizant en algèbre non commutative . Seminaire Dubreil-Malliavin . Vol. 1146 , pp. 270 – 287 . Springer-Verlag . Lect. Notes in Math
   Google Scholar
• Levasseur , T. 1992 . Some properties of noncommutatwe regular graded rings . Glas gow Math. J , 34 : 277 – 300 .
   Web of Science ®Google Scholar
• Levasseur , T. and Stafford , J.T. 1993 . The quantum coordinate rings of the special linear group . J. Pure Appl. Algebra , 86 : 181 – 186 .
   Web of Science ®Google Scholar
• Merino , L. and Verschoren , A. 1992 . Symmetry and localization . Bull. Soc. Math. Belgique , 43 : 99 – 112 .
   Google Scholar
• Mulet , J. 1992 . Cohomologia local y dualidad en anillos Gorenstein no com-mutativos , Univ. de Valencia . Ph.D. thesis
   Google Scholar
• Radford , D.E. 1973 . Coreflexive coalgebras . J. Algebra , 26 : 512 – 535 .
   Web of Science ®Google Scholar
• Stenström , B. 1975 . Rings of quotients , Berlin : Springer-Verlag .
   Google Scholar
• Sweedler , M.E. 1969 . Hopf algebras , New York : Benjamin .
   Google Scholar