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3 results

  • Trace Functions in the Ring of Fractions of Polycyclic Group Rings, II

  • A. I. Lichtman
  • Journal:
    Canadian Journal of Mathematics / Volume 49 / Issue 4 / 01 August 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 788-797
    Print publication:
    01 August 1997
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  • We prove the existence of trace functions in the rings of fractions of polycyclic-by-finite group rings or their homomorphic images. In particular a trace function exists in the ring of fractions of KH, where H is a polycyclic-by-finite group and char K > N, where N is a constant depending on H.

  • Reflexive Modules Over QF-3 Rings

  • Kanzo Masaike
  • Journal:
    Canadian Mathematical Bulletin / Volume 35 / Issue 2 / 01 June 1992
    Published online by Cambridge University Press:
    20 November 2018, pp. 247-251
    Print publication:
    01 June 1992
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  • We give a characterization of reflexive modules over QF-3 rings generalizing the concept of linearly compact modules. Further, we study necessary and sufficient conditions for left QF-3 rings to be right QF-3.

  • The Extended Center of Coproducts

  • Wallace S. Martindale, 3rd
  • Journal:
    Canadian Mathematical Bulletin / Volume 25 / Issue 2 / 01 June 1982
    Published online by Cambridge University Press:
    20 November 2018, pp. 245-248
    Print publication:
    01 June 1982
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  • The sole purpose of this paper is to prove that if R1 and R2 are algebras with 1 over a common field F, with each (Ri:F) > 1 and at least one (Ri:F) > 2, then the extended center of the coproduct R1∐R2 is equal to F.