Abstract
If R is a zero-symmetric nearring with 1 and G is a faithful R-module, a compatible extension of R is a subnearring S of M 0(G) containing R such that G is a compatible S-module and the R-ideals and S-ideals of G coincide. The set of these compatible extensions forms a complete lattice and we shall study this lattice. We also will obtain results involving the least element of this lattice related to centralizers and the largest element of this lattice related to uniqueness of minimal factors with an application to 1-affine completeness of the R-module G.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
