ON THE MAXIMALITY OE PRIME IDEALS IN EXCHANGE RINGS

ON FINITENESS OF PRIME IDEALS IN NORMED RINGS

In a commutative Noetherian local complex normed algebra which is complete in its M-adic metric there are only finitely many closed prime ideals.

Localization at prime ideals in bounded rings

In this paper we investigate the sufficiency criteria which guarantee the classical localization of a bounded ring at its prime ideals.

Prime Ideals in Group Algebras Oe Polycyclic-by-finite Groups

Introduction Group algebras K[G] of poly cyclic-by-finite groups are easily-defined, interesting examples of right and left Noetherian rings. Since prime rings and prime ideals are the basic building blocks in the Goldie theory of Noetherian rings, the determination of the structure of the prime ideals of K[G] is certainly of importance. In a recent fundamental paper [8], Roseblade proved that ...

Separative Ideals of Exchange Rings

Prime Ideals in Certain Quantum Determinantal Rings

The ideal I 1 generated by the 2 2 quantum minors in the coordinate algebra of quantum matrices, O q (M m;n (k)), is investigated. Analogues of the First and Second Fundamental Theorems of Invariant Theory are proved. In particular, it is shown that I 1 is a completely prime ideal, that is, O q (M m;n (k))=I 1 is an integral domain, and that O q (M m;n (k))=I 1 is the ring of coinvariants of a ...