Various conditions on a noncommutative ring imply that it is 2-primal (ie, the ring's prime
radical coincides with the set of nilpotent elements of the ring). We will examine several such …

All matrices are finite. All rings are associative with 1, and all modules are unitary. We
abbreviate'finitely generated'and'finitely presented'to fg and fp, respectively. We use 0 (resp …

This paper concerns two conditions, called right pp and generalized right pp, which are
generalizations of Baer rings and von Neumann regular rings. We study the subrings and …

A ring R is a left AIP-ring if the left annihilator of any ideal of R is pure as a left ideal.
Equivalently, R is a left AIP-ring if R modulo the left annihilator of any ideal is flat. This class …

Skew Polynomial Extensions over Zip Rings Page 1 Hindawi Publishing Corporation
International Journal of Mathematics and Mathematical Sciences Volume 2008, Article ID …

Jacobson said aa right ideal would be called bounded if it contained a non-zero ideal, and
Faith said a ring would be called strongly right bounded if every non-zero right ideal were …

We define a ring R to be right c P-Baer if the right annihilator of a cyclic projective right R-
module in R is generated by an idempotent. This class of rings generalizes the class of right …

We say a ring with identity is a generalized right (principally) quasi-Baer if for any (principal)
right ideal I of R, the right annihilator of In is generated by an idempotent for some positive …

× ØÖ Øº For a ring endomorphism α and an α-derivation δ, we introduce (α, δ)-compatible
rings which generalize α-rigid rings. We study the relationship between the Baer and pp …

Yu showed that every right (left) primitive factor ring of weakly right (left) duo rings is a
division ring. It is not difficult to show that each weakly right (left) duo ring is abelian and has …