n-Star modules over ring extensions

Uniformly Secondary Modules over Commutative Ring

In [2] the notion of “uniformly ideal” was introduced and developed the basic theory. In this article we introduce and advance a theory which, in a sense, dual to that i.e, the notion of “uniformly secondary module”.

On Free Ring Extensions of Degree N

Nagahara and Kishimoto [i] studied free ring extensions B(x) of degree n n for some integer n over a ring B with i, where x b, cx xp(c) for all c and n-I some b in B (p automorphism of B), and {i, x x is a basis. Parimala and Sridharan [2], and the author investigated a class of free ring extensions called generalized quaternlon algebras in which b -I and p is of order 2. The purpose of the pre...

Extensions of Baer and quasi-Baer modules

Construction of Finite Sequences over Ring and Left-, Right-, and Bi-Modules over a Ring

This text includes definitions of finite sequences over rings and left-, right-, and bi-module over a ring, treated as functions defined for all natural numbers, but almost everywhere equal to zero. Some elementary theorems are proved, in particular for each category of sequences the schema of existence is proved. In all four cases, i.e for rings, left-, right-, and bi-modules are almost exactl...

On Extensions of Simple Modules over Symmetric and Algebraic Groups