It was proved independently by both Wolfson [An ideal theoretic characterization of the ring
of all linear transformations, Amer. J. Math. 75 (1953) 358–386] and Zelinsky [Every linear …

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In the current paper, we will give an elementwise characterization of the radical associated
with v-primeness for v= 1, 2, 3, e. We show that the class of 2—prime 0-symmetric near-rings …

In [7) Scott has defined C-formation radical for a class C of near rings and has studied its
porperties under chain conditions. A natural question that arises is: Does there exist a Lower …

Throughout this paper all rings will be associative with identity and modules will be unital
right modules. A ring R is called right CS-ring (or extending ring) if every right ideal I in R is …

WHEN IS C(X) A COHERENT RING? Page 1 proceedings of the american mathematical
society Volume 110, Number 2, October 1990 WHEN IS C(X) A COHERENT RING? CHARLES …

A similar characterization, as the Gelfand-Kolmogoroff theorem for the maximal ideals in
C(X), is given for the maximal ideals of C_c(X). It is observed that the z_c-ideals in C_c(X) …

Let T be an integral domain of the form Ii'+ M, where Ii'is a field and M is a maximal ideal of T.
Let D be a proper subring of Ii', and let k= Frac (D) be the quotient field of D. Set R= D+ M …

An example is given of a commutative, von Neumann regular ring R, which has a module A
satisfying the following conditions:(1) $ T (A)=\{a\in A|(0: a) $ is an essential ideal of R} is a …

The finite conductor property of a domain R—that is the finite generation of the conductor
ideals (I: J) for principal ideals I and J of R, came into prominence with the publication of …