منابع مشابه
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.
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In a commutative Noetherian local complex normed algebra which is complete in its M-adic metric there are only finitely many closed prime ideals.
متن کاملPseudoprime L-Ideals in a Class of F-Rings
In a commutative f-ring, an 1-ideal I is called pseudoprime if ab = 0 implies a E I or b E I, and is called square dominated if for every a E I, lal < x2 for some x E A such that x2 E I. Several characterizations of pseudoprime 1-ideals are given in the class of commutative semiprime frings in which minimal prime 1-ideals are square dominated. It is shown that the hypothesis imposed on the f-ri...
متن کاملPrime 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 ...
متن کاملAssociated Prime Ideals of Skew Polynomial Rings
In this paper, it has been proved that for a Noetherian ring R and an automorphism σ of R, an associated prime ideal of R[x, σ] or R[x, x−1, σ] is the extension of its contraction to R and this contraction is the intersection of the orbit under σ of some associated prime ideal of R. The same statement is true for minimal prime ideals also. It has also been proved that for a Noetherian Q-algebra...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 1967
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.1652