참고문헌
- G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., 25(1979).
-
S. K. Berberian, Baer
$^{\ast}$ -rings, Springer Verlag, Berlin, 1972. - K. R. Goodearl, Simple regular rings and rank functions, Math. Annalen, 214(1975), 267-287. https://doi.org/10.1007/BF01352109
- K. R. Goodearl, Dimension theory for nonsingular injective modules, Memoirs Amer. Math. Soc., 177(1976).
- K. R. Goodearl, von Neumann regular rings, Pitman, London, 1979.
- T. Iwamura, On continuous geometries II, Jour. Math. Soc. Japan, 2(1950), 148-164. https://doi.org/10.2969/jmsj/00210148
-
M. F. Janowitz, On the
$^{\ast}$ -order for Rickart$^{\ast}$ -rings, Algebra Universalis, 16(1983), 360-369. https://doi.org/10.1007/BF01191791 - I. Kaplansky, Projections in Banach algebras, Ann. of Math., 53(1951), 235-249. https://doi.org/10.2307/1969540
- L. H. Loomis, The lattice theoretic background of operator algebras, Memoirs Amer. Math. Soc., 18(1955).
- S. Maeda, Dimension functions on certain general lattices, J. Sc. Hiroshima University, 19(1955), 211-237.
- F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., 37(1936), 116-229. https://doi.org/10.2307/1968693
- J. von Neumann, Continuous geometry, Princeton University Press, Princeton, 1960.
-
N. K. Thakare and S. K. Nimbhorkar, Prime strict ideals in Rickart
$^{\ast}$ -rings, Indian J. Pure Appl. Math., 22(1991), 63-72.