Let G be a sp-group such that for every prime p, Gp is elementary. We show that End Z (G) is
a sp-group and every subring R of∏ End Z (G p), containing⊕ End Z (G p) is pure if and …

Measures and measurable functions are used primarily as tools for carrying out various
calculations to increase our knowledge. We learn how to combine them in various ways by …

We study limit models in the abstract elementary class of modules with embeddings as
algebraic objects. We characterize parametrized noetherian rings using the degree of …

Full article: Essential Ideals in Rings of Measurable Functions Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

GENERALIZED RINGS OF MEASURABLE AND CONTINUOUS FUNCTIONS Page 1 Bulletin of
the Iranian Mathematical Society Vol. 39 No. 1 (2013), pp 49-64. GENERALIZED RINGS OF …

In this article, inspiring with a result due to OAS Karamzadeh, we examine the $\prod_ {i\in I}
R_i/\oplus_ {i\in I} R_i $, where $\{R_i\} _ {i\in I} $ is an infinite family of rings. We observe …

Recall that a ring R is called right ℵ 0-injective if every homomorphism from a countably
generated right ideal of R to RR can be extended to a homomorphism from RR to RR. These …

Full article: On ℵ0-Self-Injective Rings Modulo Their Jacobson Radical # Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

In this article, by R we mean an associative ring with identity and M is a unitary R-module.
An R-module M is said to be R0-injective (f-injective) if every (module) homorphism f∈ …

We show that a projective maximal submodule of afinitely generated, regular, extending
module is a directsummand. Hence, every finitely generated, regular, extendingmodule with …