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Original Articles

Inertial algebras, inertial bimodules, and projective covers of algebras

Pages 5303-5331 | Received 01 Oct 1996, Published online: 27 Jun 2007

References

  • Anderson , F.W. and Fuller , K.R. 1974 . Rings and Categories of Modules New York Heidelberg - Berlin
  • Auslander , M. and Goldman , O. 1960 . The Brauer group of a commutative ring . Trans. AMS , 97 : 367 – 409 .
  • Azumaya , G. 1951 . On maximally central algebras . Nagoya Math. J , 2 : 119 – 150 .
  • Azumaya , G. 1971 . Algebras with Hochschild Dimension ≤ 1 . In: Ring Theory , 2 : 9 – 27 .
  • Bourbaki , N. 1972 . Commutative Algebra Paris
  • Bourbaki , N. 1989 . General Topology, chap. I - IV Berlin Heidelberg-New York
  • Brown , W.C. 1970 . Strong inertial coefficient rings . Mich. Math. J , 17 : 73 – 84 .
  • Brown , W.C. 1971 . Some splitting theorems for algebras over commutative rings . Trans. AMS , 162 : 303 – 315 .
  • Brown , W.C. 1972 . A splitting theorem for algebras over commutative von Neumann regular rings . Proc, AMS , 36 : 369 – 374 .
  • Brown , W.C. and Ingraham , E.C. 1970 . A characterization of semilocal inertial coefficient rings . Proc. AMS , 26 : 10 – 14 .
  • Cipolla , M. 1977 . Remarks on the lifting of algebras over Henselian pairs . Math. Z , 152 : 253 – 257 .
  • Cipolla , M. and Di Franco , F. 1978 . Inertial Subalgebras over Hensel Rings . Math. Z , 159 : 197 – 202 .
  • Cohn , P.M. 1971 . Free Rings and their Relations London New York
  • Deneen , L.L. 1982 . On the Lattice of Subalgebras of an Algebra . Proc. AMS , 86 : 189 – 195 .
  • Gruson , L. 1972 . “ Une propriété des couples henséliens ” . In In: Colloq. d'algébre commutative , Publ. des Sém. de Math, de rUniv. de Rennes .
  • Ingraham , E.C. 1966 . Inertial subalgebras of algebras over commutative rings . Trans. AMS , 124 : 77 – 93 .
  • Ingraham , E.C. 1970 . Inertial subalgebras of complete algebras . J, Alg , 15 : 1 – 11 .
  • Ingraham , E.C. 1974 . On the existence and conjugacy of inertial subalgebras . J. Alg , 31 : 547 – 556 .
  • Kirkman , E.E. 1976 . Inertial coefficient rings and the idempotent lifting property . Proc. AMS , 61 : 217 – 222 .
  • Mac Lane , S. 1971 . Categories for the Working Mathematician New York Heidelberg - Berlin
  • Pareigis , B. 1969 . Kategorien und Funktoren Stuttgart
  • Pierce , R.S. 1982 . Associative Algebras New York Heidelberg-Berlin
  • Roggenkamp , K.W. and Rump , W. 1996 . Orders in Non-Semisimple Algebras to appear
  • Silver , L. 1967 . Noncommutative Localizations and Applications . J. Alg , 7 : 44 – 76 .
  • Wehlen , J.A. 1973 . Algebras over Dedekind domains . Can. J. Math , 25 : 842 – 855 .
  • Wehlen , J.A. 1990 . A complete characterization of weak inertial coefficient rings . Comm. in Alg , 18 : 3577 – 3588 .
  • Wehlen , J.A. 1994 . Splitting Properties of Extensions of the Wedderburn Principal Theorem . Lecture Notes Pure Appl. Math , 159 : 223 – 240 .

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