For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

Bass [1] proved that if R is a left perfect ring, then R contains no infinite sets of orthogonal
idempotents and every nonzero left R-module has a maximal submodule, and asked if this …

For a ring R, we investigate and determine “minimal” right essential overrings (right ring
hulls) belonging to certain classes which are generated by R and subsets of the central …

Throughout, A denotes an associative ring with identity and “module” means “left, unitary A-
module”. In (3), it is proved that A is semi-simple, Artinian if A is a semi-prime ring such that …

Principal ideal rings and Noetherian serial rings are products of prime rings and Artinian
rings. In the non-Noetherian situation, Bezout rings (rings in which one-sided finitely …

Throughout this paper we shall be only concerned with Banach*-algebras with complex
scalars. A topological ring is said to be dual [4] provided that for every closed right (left) ideal …

This is the second volume of a two-volume set that provides a modern account of basic
Banach algebra theory including all known results on general Banach*-algebras. The author …

1. Introduction and preliminaries. A right seminear-ring is a set R together with two binary
operations 4-and such that (R, 4-) and (R,-) are semigroups and for all a, b, c R"(a 4-b) c ac+ …

In this thesis we investigate algebraic questions about the structure of B (E) and ideals
thereof, where B (E) is the Banach algebra of all operators on a Banach space E. Chapter 1 …

T. Turumaru[6] introduced a tensor product A1α A2 of two C*-algebras A1 and A2, which is
the C*-algebra obtained as the completion of the*-algebraic tensor product. A1 A2, of A1 …