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Pseudo-Rank Functions on Rickart *-rings

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초록

Pseudo-rank functions on Rickart *-rings are introduced and their properties are studied.

Abstract

Pseudo-rank functions on Rickart *-rings are introduced and their properties are studied.

참고문헌 (13)

  1. G. Birkho, "Lattice Theory", Amer. Math. Soc. Colloq. Publ, 25 (1979)
  2. S. K. Berberian, "Baer *-rings" (1972), Springer Verlag
  3. K. R. Goodearl, "Simple regular rings and rank functions", Math. Annalen, 214, pp.267~287 (1975)
  4. K. R. Goodearl, "Dimension theory for nonsingular injective modules", Memoirs Amer. Math. Soc, 177 (1976)
  5. K. R. Goodearl, "von Neumann regular rings" (1979), Pitman
  6. T. Iwamura, "On continuous geometries II", Jour. Math. Soc. Japan, 2, pp.148~164 (1950)
  7. M. F. Janowitz, "On the *-order for Rickart *-rings", Algebra Universalis, 16, pp.360~369 (1983)
  8. I. Kaplansky, "Projections in Banach algebras", Ann. of Math, 53, pp.235~249 (1951)
  9. L. H. Loomis, "The lattice theoretic background of operator algebras", Memoirs Amer. Math. Soc, 18 (1955)
  10. S. Maeda, "Dimension functions on certain general lattices", J. Sc. Hiroshima University, 19, pp.211~237 (1955)
  11. F. J. Murray, "On rings of operators", Ann. of Math, 37, pp.116~229 (1936)
  12. J. von Neumann, "Continuous geometry" (1960), Princeton University Press
  13. N. K. Thakare, "Prime strict ideals in Rickart *-rings", Indian J. Pure Appl. Math, 22, pp.63~72 (1991)

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