Simple rings and degree maps
نویسندگان
چکیده
منابع مشابه
Distances in Generalized Double Rings and Degree Three Chordal Rings
Generalized Double Rings (N2R) are compared to Degree Three Chordal Rings (CR) in terms of average distance, diameter, k-average distance and k-diameter. For each number of nodes, structures of each class are chosen to minimize diameter and average distance, an approach which is shown to result in all other parameters being either minimized or nearly minimized. Average distance and diameter are...
متن کامل0-primitive Near-rings, Minimal Ideals and Simple Near-rings
We study the structure of 0-primitive near-rings and are able to answer an open question in the theory of minimal ideals in near-rings to the negative, namely if the heart of a zero symmetric subdirectly irreducible near-ring is subdirectly irreducible again. Also, we will be able to classify when a simple near-ring with an identity and containing a minimal left ideal is a Jacobson radical near...
متن کاملC*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings
Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove som...
متن کاملRings for which every simple module is almost injective
We introduce the class of “right almost V-rings” which is properly between the classes of right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R-module is almost injective. It is proved that R is a right almost V-ring if and only if for every R-module M, any complement of every simple submodule of M is a direct summand. Moreover, R is a right almost V-rin...
متن کاملSemi-simple Extensions of Rings
In this paper we investigate the conditions under which a given ring is a sub-ring of a semi-simple ring. For convenience, we say that a ring A is an extension of a ring B, if B is a sub-ring of A. It is found that the existence of a semi-simple extension is equivalent to the vanishing of the extension radical, a two-sided ideal defined analogously to the ordinary radical. In Theorem II we give...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.11.023