Outer product rings
نویسندگان
چکیده
منابع مشابه
Schur rings over a product of Galois rings
The recently developed theory of Schur rings over a finite cyclic group is generalized to Schur rings over a ring R being a product of Galois rings of coprime characteristics. It is proved that if the characteristic of R is odd, then as in the cyclic group case any pure Schur ring over R is the tensor product of a pure cyclotomic ring and Schur rings of rank 2 over non-fields. Moreover, it is s...
متن کاملThe sum-product phenomenon in arbitrary rings
The sum-product phenomenon predicts that a finite set A in a ring R should have either a large sumset A + A or large product set A ·A unless it is in some sense “close” to a finite subring of R. This phenomenon has been analysed intensively for various specific rings, notably the reals R and cyclic groups Z/qZ. In this paper we consider the problem in arbitrary rings R, which need not be commut...
متن کاملLocal Cohomology of Segre Product Type Rings
The aim of this paper is to investigate properties of the local cohomology of rings of mixed characteristic that are analogous to Segre products of rings de ned over a eld. The main question is whether the local cohomology can be almost killed in a nite extension (we de ne what this means below). There are two reasons for considering this type of ring. First, there are special properties of the...
متن کاملA Model for the Outer Rings of Sn 1987a
I propose a model for the formation of the two outer rings of SN 1987A. The main new ingredient is a short-lived, few×10 years, intermediate wind, of velocity ∼ 100 km s and total mass of ∼ 10M⊙−few×10 M⊙, which is concentrated near the equatorial plane. This intermediate wind was formed during the few orbital periods when a binary companion entered the envelope of the progenitor of SN 1987a, w...
متن کاملOn zero divisor graph of unique product monoid rings over Noetherian reversible ring
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors. The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero zero-divisors of $R$, and two distinct vertices $r$ and $s$ are adjacent if and only if $rs=0$ or $sr=0$. In this paper, we bring some results about undirected zero-divisor graph of a monoid ring o...
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: Transactions of the American Mathematical Society
سال: 1965
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1965-0186687-3