In this paper, we extend the recent work of C. Faith in which it is proved, using results of RC
Shock, that over a commutative ring, the associated primes of the polynomial ring (viewed as …

This book surveys more than 125 years of aspects of associative algebras, especially ring
and module theory. It is the first to probe so extensively such a wealth of historical …

Let D be an integral domain, S a multiplicative set in D and X an indeterminate over D. We
show that if D is a GCD-domain, then the behaviour of D (S)={a 0+ Σ ai X i| a 0 ϵ D, ai ϵ …

This article gives a survey of how the notion of t-invertibility has, in recent years, been used
to develop new concepts that enhance our understanding of the multiplicative structure of …

Let A be a subring of the integral domain B. Then B is said to be t-linked over A if for each
finitely generated ideal I of A with I-1= A, we have (IB)-1= B. If A and B are Krull domains, this …

The study of the prime ideals in Ore extension rings R [x, σ, δ] has attracted a lot of attention
in recent years and has proven to be a challenging undertaking ([5],[7],[12], et al.). The …

In this article, we continue the study of ideals of the noncommutative rings of polynomial type
known as skew Poincaré-Birkhoff-Witt extensions. More exactly, we focus on the associated …

1464 WBBS ET AL. to [DHLZ, Corollary 2.31, R* is t-linked over R for each domain R. It was
shown in [DHLZ, Corollary 2.14 (a)] that R'is t-linked over R if R is a Noetherian (or, more …

INFORMATION TO USERS Page 1 INFORMATION TO USERS This manuscript has been
reproduced from the microfilm master. UMI films the text directly from the original or copy …

Let D be an integral domain with quotient field K and X an indeterminate over K. A
polynomial overring of D is a subring of K [X] containing D [X]. The aim of this paper is to …