Results 11 to 20 of about 204,003 (212)
ENDOMORPHISM RINGS OF MODULES OVER PRIME RINGS [PDF]
Endomorphism rings of modules appear as the center of a ring, as the fix ring of ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain *-prime modules (introduced by Bican et al.) have a prime endomorphism ring.
Baziar, Mohammad, Lomp, Christian
openaire +4 more sources
Comparison of symbolic and ordinary powers of ideals [PDF]
In this paper we generalize the theorem of Ein-Lazarsfeld-Smith (concerning the behavior of symbolic powers of prime ideals in regular rings finitely generated over a field of characteristic 0) to arbitrary regular rings containing a field.
Hochster, Melvin, Huneke, Craig
core +3 more sources
On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]
In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood +1 more
core +3 more sources
In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Agboola A.A.A. +2 more
core +1 more source
Some Additive Combinatorics Problems in Matrix Rings [PDF]
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the determinants in sumsets in matrix rings over the ...
A.N. Skorobogatov +24 more
core +3 more sources
p-Adic estimates of Hamming weights in Abelian codes over Galois rings [PDF]
A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic codes is proved in this paper by means of counting polynomial techniques introduced by Wilson along with a technique known as trace-averaging introduced ...
Katz, Daniel J.
core +1 more source
Projective prime ideals and localisation in pi-rings [PDF]
The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +2 more
core +1 more source
A one-sided Prime Ideal Principle for noncommutative rings
Completely prime right ideals are introduced as a one-sided generalization of the concept of a prime ideal in a commutative ring. Some of their basic properties are investigated, pointing out both similarities and differences between these right ideals ...
Andrunakievich V. A. +7 more
core +1 more source
A prime ideal principle for two-sided ideals
Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
core +1 more source
ABSTRACT Hemoglobinopathies are prevalent globally; diagnosis is complex in high genetic admixture populations like Brazil. We report, in two pediatric siblings, the first documented cases in Brazil of heterozygosity for hemoglobin (Hb) O‐Arab with coinheritance of α‐thalassemia (αα/−α4.2; −α3.7/−α4.2), resulting in microcytic and hypochromic anemia ...
Elisângela de Souza Miranda Muynarsk +9 more
wiley +1 more source

