Published December 24, 2011
| Version 15439
Journal article
Open
The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals
Authors/Creators
Description
Using the idea of prime and semiprime bi-ideals of
rings, the concept of prime and semiprime generalized bi-ideals of
rings is introduced, which is an extension of the concept of prime and
semiprime bi-ideals of rings and some interesting characterizations
of prime and semiprime generalized bi-ideals are obtained. Also,
we give the relationship between the Baer radical and prime and
semiprime generalized bi-ideals of rings in the same way as of biideals
of rings which was studied by Roux.
Files
15439.pdf
Files
(96.3 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:3014562e6ba168ddd84346975ae2d970
|
96.3 kB | Preview Download |
Additional details
References
- K. R. Goodearl and R. B. Warfield Jr, An Introduction to Noncommutative Noetherian Rings, Cambridge University, 2004.
- T. W. Hungerford, Algebra, Department of Mathematics, Cleveland State University, USA, 1974.
- S. Lajos and F. A. Sz'asz, Bi-ideals in associative rings, Acta Sci. Math. 32, 185-193, 1971.
- H. J. L. Roux, A note on prime and semiprime bi-ideals, Kyungpook Math. J. 35, 243-247, 1995.
- F. A. Sz'asz, Generalized biideals of rings. I, Mathematische Nachrichten 47, 355-360, 1970.
- F. A. Sz'asz, Generalized biideals of rings. II, Mathematische Nachrichten 47, 361-364, 1970.
- A. P. J. van der Walt, Prime and semiprime bi-ideals, Quaestiones Mathematicae 5, 341-345, 1983.