Weakly Prime Radical of Submodules

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

In this paper, some properties of weakly prime radical are stated. The characterization of weakly prime radical for finitely generated modules is given. Also, the relationship between the weakly prime radical of a submodule and the ideals of the ring $T$ is considered.

Keywords:

Prime radical, prime submodule, weakly prime radical weakly prime submodule,

PDF

___

[1] A. Azizi, Radical formula and prime submodules, Journal of Algebra Vol:307, (2007), 454-460.
[2] A. Azizi, Radical formula and weakly prime submodules, Glasgow Mathematical Journal of Trust Vol:51, (2009), 405-412.
[3] M. Behboodi, On weakly prime radical of modules and semi-compatible modules, Acta Math. Hungar. Vol:113, No:3, (2006), 243-254.
[4] M. Behboodi and H. Koohy, Weakly prime modules, Vietnam Journal of Mathematics Vol:32, No:2 (2004), 185-195.
[5] R.L. McCasland and M.E. Moore, On radical of submodules, Communications in Algebra Vol:19, No:5, (1991), 1327-1341.
[6] E. Yılmaz and S. K. Cansu, Baer’s lower nilradical and classical prime submodules, Bulletin of the Iranian Mathematical Society Vol:40, No:5, (2014), 1263-1274.
[7] C-P. Lu, Prime submodules of modules, Comment. Math. University Sancti Pauli Vol:33, No:1, (1984), 61-69.