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
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 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  and .
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.