Abstract
The commutator ideal is used to define quasi-ideals and bi-ideals in categories. These ideals are investigated and examples are given in the category of nearrings.
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References
Coppage, W. and Luh, J., Radicals of gamma rings, J. Math. Soc. Japan 23 (1971), 40–52.
Higgins, P. J., Groups with multiple operators, Proc. London Math. Soc. (3) 6 (1956), 366–416.
Huq, S. A., Commutator, Nilpotency and Solvability in Categories, Quart. J. Math. Oxford Ser. 2 (1968), 363–389.
Pilz, G., Near-rings, North Holland, Amsterdam, 1977.
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© 1997 Kluwer Academic Publishers
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Botha, S.G. (1997). Quasi-Ideals and Bi-Ideals in Categories. In: Saad, G., Thomsen, M.J. (eds) Nearrings, Nearfields and K-Loops. Mathematics and Its Applications, vol 426. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1481-0_13
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DOI: https://doi.org/10.1007/978-94-009-1481-0_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7163-5
Online ISBN: 978-94-009-1481-0
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