A note on extensions of Baer and P. P. -rings

Polynomial Ore Extensions of Baer and p.p.-Rings

Extensions of Baer and quasi-Baer modules

BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...

A NOTE ON p-ADIC INVARIANT INTEGRAL IN THE RINGS OF p-ADIC INTEGERS

In [2], I constructed the p-adic q-integral I q (f) on Z p. In this paper, we consider the properties of lim q→−1 I q (f) = I −1 (f). Finally we give the some applications of I −1 (f) and integral equations for I −1 (f). These properties are useful and worthwhile to study Euler numbers and polynomials.

A NOTE ON THE COUNTABLE EXTENSIONS OF SEPARABLE p–PROJECTIVE ABELIAN p–GROUPS

Throughout this brief note all groups are assumed to be abelian p-primary, written additively as is customary when regarding the group structure. Since we shall deal exclusively only with p-torsion abelian groups, for some arbitrary but a fixed prime p, there should be no confusion in future removing the phrase ”is an abelian p-group”. Concerning the terminology, under the term a separable grou...