# ON STRONGLY 2-PRIMAL RINGS

Hwang, Seo-Un;Lee, Yang;Park, Kwang-Sug

• Published : 2007.12.25
• 36 3

#### Abstract

We first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal. Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an example we show that if R is a ring and M is a multiplicative monoid in R consisting of central regular elements, then R is strongly 2-primal if and only if so is $RM^{-1}$. Various properties of (strongly) 2-primal rings are also studied.

#### Keywords

(strongly) 2-primal ring;prime radical;sub direct product;ring extension

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#### Cited by

1. ARMENDARIZ PROPERTY OVER PRIME RADICALS vol.50, pp.5, 2013, https://doi.org/10.4134/JKMS.2013.50.5.973