Relations between Elements and p·1 for a Prime p
For any positive power n of a prime p we find a complete set of generating relations between the elements [r] = rⁿ - r and p·1 of a unitary commutative ring.
Relations between Elements r²-r
We prove that generating relations between the elements [r] = r²-r of a commutative ring are the following: [r+s] = [r]+[s]+rs[2] and [rs] = r²[s]+s[r].
Remarks on reflexive modules, covers, and envelopes.
Rings whose class of projective modules is socle fine.