Prime ideals of the Witt ring

2017 ◽  
pp. 275-302
Author(s):  
Kazimierz Szymiczek
Keyword(s):  
Prime Ideals ◽  
Witt Ring

Signatures and Semi Signatures of Abstract Witt Rings and Witt Rings of Semilocal Rings

1978 ◽  
Vol 30 (4) ◽  
pp. 872-895 ◽  
Author(s):  
Jerrold L. Kleinstein ◽  
Alex Rosenberg
Keyword(s):  
Residue Class ◽  
Point Of View ◽  
Prime Ideals ◽  
Bilinear Forms ◽  
Semilocal Ring ◽  
Witt Ring ◽  
Witt Rings ◽  
Full Knowledge ◽  
Carry Over

This paper originated in an attempt to carry over the results of [3] from the case of a field of characteristic different from two to that of semilocal rings. To carry this out, we reverse the point of view of [3] and do assume a full knowledge of the theory of Witt rings of classes of nondegenerate symmetric bilinear forms over semilocal rings as given, for example, in [10; 11]. It turns out that the rings WT of [3] are just the residue class rings of W(C), the Witt ring of a semilocal ring C, modulo certain intersections of prime ideals.

N-ideals of commutative rings

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2933-2941 ◽  
Author(s):  
Unsal Tekir ◽  
Suat Koc ◽  
Kursat Oral
Keyword(s):  
Commutative Ring ◽  
Commutative Rings ◽  
Proper Ideal ◽  
Prime Ideals ◽  
Nonzero Identity

In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.

On minimal prime ideals of commutative Bezout rings

1999 ◽  
Vol 51 (7) ◽  
pp. 1129-1134
Author(s):  
B. V. Zabavskii ◽  
A. I. Gatalevich
Keyword(s):  
Prime Ideals ◽  
Minimal Prime

A note on prime ideals which test injectivity

1987 ◽  
Vol 15 (3) ◽  
pp. 471-478 ◽  
Author(s):  
John A. Beachy ◽  
William D. Weakley
Keyword(s):  
Prime Ideals

Prime ideals in fixed rings II

1982 ◽  
Vol 10 (5) ◽  
pp. 449-455 ◽  
Author(s):  
Martin Lorenz ◽  
Susan Montgomery ◽  
L.W. Small
Keyword(s):  
Prime Ideals

On a class of closed prime ideals inH∞

2005 ◽  
Vol 50 (13) ◽  
pp. 1011-1023 ◽  
Author(s):  
Keiji Izuchi ◽  
Yuko Izuchi
Keyword(s):  
Prime Ideals
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