Let⋆ be a star operation of finite character. Call a⋆-ideal I of finite type a⋆-homogeneous
ideal if I is contained in a unique maximal⋆-ideal M= M (I). A maximal∗-ideal that contains …

Let∗ be a star operation of finite character. Call a∗-ideal I of finite type a∗-homogeneous
ideal if I is contained in a unique maximal∗-ideal M= M (I). A maximal∗-ideal that contains …

For a finite-type star operation⋆ on a domain R, we say that R is⋆-super potent if each
maximal⋆-ideal of R contains a finitely generated ideal I such that (1) I is contained in no …

Let* be a star operation of finite character. Call a* &ideal" of finite type a* &homogeneous
ideal if" is contained in a unique maximal* &ideal###"! A maximal* &ideal that contains a …

Let D be an integral domain,∗ a star-operation on D, and S a multiplicative subset of D. We
define D to be an S-∗ w-principal ideal domain if for each nonzero ideal I of D, there exist an …

Let ⋆ be a finite character star-operation defined on an integral domain D. A nonzero finitely
generated ideal of D is ⋆-homogeneous if it is contained in a unique maximal ⋆-ideal. And …

We call a prime t-ideal P, of an integral domain D, well behaved if PD P is a t-ideal of D P. It
is known that some integral domains have prime t-ideals that are not well behaved. In this …

Generalizing work of Gilmer and Heinzer, we define at#-domain to be a domain R in which⋂
M∈ M 1R M≠⋂ M∈ M 2R M for any two distinct subsets M 1 and M 2 of the set of maximal t …

MINIMAL PRIME IDEALS AND SEMISTAR OPERATIONS Page 1 ROCKY MOUNTAIN
JOURNAL OF MATHEMATICS Volume 40, Number 3, 2010 MINIMAL PRIME IDEALS AND …

Let D be an integral domain, ${\ast} $ a star-operation on D, and S a (not necessarily
saturated) multiplicative subset of D. In this article, we prove the Cohen type theorem for $ S …