ENDOMORFISMA RIGID DAN COMPATIBLE PADA RING DERET PANGKAT TERGENERALISASI MIRING

Abstract

Given a ring R, a strictly ordered monoid and monoid homomorphism  .  Constructed the set of all function from S to R whose support is artinian and narrow, with pointwise addition and the skew convolution multiplication, it becomes a ring called the skew generalized power series rings (SGPSR)  and denoted by . A ring R is called  reduced if it contains no nonzero nilpotent elements, reversible if for all ,  implies .  Let  be a ring endomorphism,  if for ,  implies , then  is called rigid. If for all ,  if and only if , then  is called compatible.  In this paper we will discuss about the constructing of SGPSR homomorphism.  Beside that, we also discuss about rigid and compatible endomorphism on SGPSR .