K] (a, b, c) is the set of all

prime ideals p of [O.

In Section 4 we introduce the concepts of fuzzy

prime ideals and fuzzy strong

prime ideals in coresiduated lattices and obtain some of their characterizations.

Specific topics covered include characterization of almost injective modules, minimal

prime ideals and quasi-duo rings.

For every ideal I of R one has that the radical of I is the intersection of all

prime ideals containing I.

An LA-semigroup S is called fully prime LA-semigroup if all of its ideals are

prime ideals.

For x [member of] N, < x > denote the ideal of N generated by x, and P (N) denotes the intersection of all

prime ideals of N.

Prime ideals of Ore extensions over commutative rings.

Chapters consider local and reduced rings, and commutative rings in general, as well as the classification of minimal ring extensions, linear systems theory over commutative rings, and the history and summary of asymptotic stability of associated or attached

prime ideals.

Since T is weakly Prime, we On Prime, Weakly

Prime Ideals in Semigroups 3 have AB [subset or equal to] [AB) [subset or equal to] T or BA [subset or equal to] [BA) [subset or equal to] T, A [subset or equal to] T or B [subset or equal to] T

1]), by taking inverse images of graded

prime ideals, see [2] and [15].

These two ideals are proper real

prime ideals and q lies over p; put [Mathematical Expression Omitted].

I] is a radical ideal and hence equals the intersection of all

prime ideals of R([beta]L) containing it.