On 2-primal ideals in near-rings. (English) Zbl 1276.16041
The authors write “We extend the notion of \(2\)-primal rings to \(2\)-primal ideals and we introduce the notion of \(2\)-primal ideals in near-rings”, and then continue to give a number of characterizations of \(2\)-primal ideals in near-rings.
However, all these notions, both for rings and near-rings, have been around for years, see for example G. Birkenmeier, H. Heatherly and E. Lee [Monatsh. Math. 117, No. 3-4, 179-197 (1994; Zbl 0807.16039)] or N. Argac and N. J. Groenewald [Quaest. Math. 27, No. 4, 397-413 (2004; Zbl 1080.16044)] with their references. The authors have also neglected to give reference to P. Dheena and G. Satheesh Kumar [Tamsui Oxf. J. Math. Sci. 24, No. 3, 233-242 (2008; Zbl 1176.16036)] which contains results and proofs used almost verbatim.
However, all these notions, both for rings and near-rings, have been around for years, see for example G. Birkenmeier, H. Heatherly and E. Lee [Monatsh. Math. 117, No. 3-4, 179-197 (1994; Zbl 0807.16039)] or N. Argac and N. J. Groenewald [Quaest. Math. 27, No. 4, 397-413 (2004; Zbl 1080.16044)] with their references. The authors have also neglected to give reference to P. Dheena and G. Satheesh Kumar [Tamsui Oxf. J. Math. Sci. 24, No. 3, 233-242 (2008; Zbl 1176.16036)] which contains results and proofs used almost verbatim.
Reviewer: Stefan Veldsman (Al-Khodh)
References:
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| [5] | Murty, C.V.L.N., Reddy, Y.V.: Semi-symmetric ideals in near-rings. Indian J. Pure Appl. Math. 16, 17–21 (1985) · Zbl 0584.16022 |
| [6] | Pilz, G.: Near-Rings. North-Holland, Amsterdam (1983) |
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