It is well-known that every quasi-p-injective module has C2-condition. In this note, it is shown that for a quasi-p-injective module M which is a self-generator, if M is projective, duo and semiperfect, then M is continuous. As a special case we re-obtain a result of Puninski-Wisbauer-Yousif saying that, a semiperfect ring R is right continuous if it is right duo, right p-injective.

In this paper we solve the Hyers-Ulam stability problem for quadratic multidimensional mappings on the Gaussian plane.

In this paper, an inverse heat conduction problem will be considered. By reducing this inverse problem and using an overspecified condition, it is shown that the solution to the problem exists, and this solution is unique.

Let B be an Azumaya Galois extension or a DeMeyer-Kanzaki Galois extension with Galois group G. Equivalent conditions are given for a separable subextension of a Galois extension in the skew group ring B * G being an invariant subring of a subgroup of the Galois group G.

In this paper the Stone-Cech Compactification and Hewitt Realcompactification of a Tychonoff space X are shown as the spaces of Hemiring Homomorphisms from the hemirings C*+(X) and C+(X) to IR+ respectively.

In this paper, we prove two integration by parts formulas for the Denjoy-Bochner integral, and give a representation theorem for the space of Denjoy-Bochner integrable functions.

In this paper, two theorems about the compactness of almost invariant operators on homogeneous Banach spaces of distributions (in the sense of Feichtinger [11]) defined on a locally compact abelian group are proved. Our theorems generalize the corresponding results of K. de Leeuw [3] and Tewari and Madan [18] for operators on homogeneous Banach spaces on the circle group and Segal algebras on a compact abelian groups, respectively.

A nearlatticeS is a meet semilattice together with the property that any two elements possessing a common upper bound have a supremum. Here the authors have introduced the notion of sectionally semicomplemented distributive nearlattices and given several characterizations of them. The skeleton SCon(S) of Con(S), the congruence lattice, consists of all those nearlattice congruences which are the pseudocomplements of members of Con(S). The relationship between skeletal congruences and kernel of skeletal congruences leads to numerous characterizations of sectionally semicomplemented distributive nearlattices and semiboolean algebras. For example we prove, for a distributive nearlattice S with 0, the following conditions are equivalent: (i) S is sectionally semicomplemented (ii) The map Θ Θ ker Θ of SCon(S) onto KSCon(S) is one-to-one. (iii) The map Θ Θ ker Θ of SCon(S) onto KSCon(S) preserves finite joins. (iv) The map Θ Θ ker Θ is a lattice isomorphism of SCon(S) onto KSCon(S), whose inverse is the map J Θ(J)**.

A new class of G-Brauer algebras which generalizes signed Brauer algebras has been introduced. The structure and representations of such algebras have been studied.

This paper identifies a class of supersoluble groups, called finitely generated hallsoging groups. The main result states that the product of a normal finitely generated hall-soging subgroup and a subnormal supersoluble subgroup is always supersoluble.