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Original Articles

NILPOTENCY, SOLVABILITY AND RADICALS IN CATEGORIES

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Pages 129-136 | Received 27 Apr 1988, Published online: 17 Sep 2010

References

  • Botha , S. G. and Buys , A. 1985 . Prime ideals in categories . Comm. Algebra , 13 ( 5 ) : 1171 – 1186 .
  • Coppage , W. and Luh , J . 1971 . Radicals of gamma rings . J. Math. Soc. Japan , 23 : 40 – 52 .
  • Huq , S. A. 1968 . Commutator, nilpotency and solvability in categories, Quart. . J. Math. Oxford Ser. 2 , 19 : 363 – 389 .
  • Kurosh , A. G. , Livshits , A. H. and shul'geifer , E. G. 1960 . Foundations of the theory of categories . Russian Math. Surveys , 15 ( 6 ) : 1 – 46 .
  • Pareigis , Bodo . 1970 . Categories and functors New York London : Academic Press .
  • Pilz , Gunter . 1977 . Near-Rings Amsterdam-New York-Oxford : North-Holland Publishing Company .
  • Schenkman , Eugene . 1958 . The similarity between the properties of ideals in commutative rings and the properties of normal subgroups of groups . Proc. Amer. Math. Soc. , 9 : 375 – 381 .
  • Ščukin , K. K. 1960 . An RI-solvable radical of groups . Soviet Math. Dokl. , 1 : 615 – 618 .

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