Skoči na glavni sadržaj

Izvorni znanstveni članak

On nilpotent elements in a nearring of polynomials

Ebrahim Hashemi ; Department of Mathematics, Shahrood University of Technology, Shahrood, Iran


Puni tekst: engleski pdf 203 Kb

str. 257-264

preuzimanja: 1.192

citiraj


Sažetak

For a ring R, R[x] is a left nearring under addition and substitution, and we denote it by (R[x],+,).
In this note, we show that if nil(R) is a locally nilpotent ideal of R,
then nil(R[x],+,)=nil(R)0[x], where nil(R) is the set of nilpotent elements of R and nil(R)0[x] is the 0-symmetric left nearring of polynomials with coefficients in nil(R). As a corollary, if R is a 2-primal ring, then nil(R[x],+,)=nil(R)0[x].

Ključne riječi

Armendariz rings; nearring of polynomials; nilpotent elements; insertion of factors property; 2-primal rings

Hrčak ID:

83079

URI

https://hrcak.srce.hr/83079

Datum izdavanja:

12.6.2012.

Posjeta: 1.853 *

accessibility

closePristupačnostrefresh

Ako želite spremiti trajne postavke, kliknite Spremi, ako ne - vaše će se postavke poništiti kad zatvorite preglednik.