Density Theorems for Graded Rings

2005 ◽  
Vol 128 (6) ◽  
pp. 3350-3364 ◽  
Author(s):  
I. N. Balaba ◽  
S. V. Limarenko ◽  
A. V. Mikhalev ◽  
S. V. Zelenov
Keyword(s):  
Graded Rings ◽  
Density Theorems

HEARTS DENSITY THEOREMS

1987 ◽  
Vol 13 (1) ◽  
pp. 28
Author(s):  
Aversa ◽  
Preiss
Keyword(s):  
Density Theorems

Density theorems and extremal hypergraph problems

2006 ◽  
Vol 152 (1) ◽  
pp. 371-380 ◽  
Author(s):  
V. Rödl ◽  
E. Tengan ◽  
M. Schacht ◽  
N. Tokushige
Keyword(s):  
Density Theorems ◽  
Extremal Hypergraph

scholarly journals A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS

2014 ◽  
Vol 13 (04) ◽  
pp. 1350121 ◽  
Author(s):  
AGATA SMOKTUNOWICZ
Keyword(s):  
Jacobson Radical ◽  
Analogous Result ◽  
Graded Rings ◽  
Radical Ring ◽  
Graded Ring ◽  
Nil Ring ◽  
Nil Radical

It was shown by Bergman that the Jacobson radical of a Z-graded ring is homogeneous. This paper shows that the analogous result holds for nil radicals, namely, that the nil radical of a Z-graded ring is homogeneous. It is obvious that a subring of a nil ring is nil, but generally a subring of a Jacobson radical ring need not be a Jacobson radical ring. In this paper, it is shown that every subring which is generated by homogeneous elements in a graded Jacobson radical ring is always a Jacobson radical ring. It is also observed that a ring whose all subrings are Jacobson radical rings is nil. Some new results on graded-nil rings are also obtained.

On graded rings and modules of quotients

1978 ◽  
Vol 6 (18) ◽  
pp. 1923-1959 ◽  
Author(s):  
Van F. Oystaeyen
Keyword(s):  
Graded Rings

scholarly journals Generators of graded rings of modular forms

2014 ◽  
Vol 138 ◽  
pp. 97-118 ◽  
Author(s):  
Nadim Rustom
Keyword(s):  
Modular Forms ◽  
Graded Rings

Criteria for the Validity of Goldie’s Theorems for Graded Rings

2018 ◽  
Vol 57 (5) ◽  
pp. 353-359
Author(s):  
A. L. Kanunnikov
Keyword(s):  
Graded Rings

Filtered and Graded Rings

2002 ◽  
pp. 103-111
Author(s):  
Ken A. Brown ◽  
Ken R. Goodearl
Keyword(s):  
Graded Rings
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