scholarly journals Kunneth formula for graded rings associated to $K$-theories of Rost motives

2019 ◽  
Vol 147 (10) ◽  
pp. 4513-4526
Author(s):  
Nobuaki Yagita
Keyword(s):  
Graded Rings ◽  
Kunneth Formula

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 The künneth formula in periodic cyclic homology

K-Theory ◽  
1996 ◽  
Vol 10 (2) ◽  
pp. 197-214 ◽  
Author(s):  
Ioannis Emmanouil
Keyword(s):  
Cyclic Homology ◽  
Kunneth Formula

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

On Strongly Groupoid Graded Rings and the Corresponding Clifford Theorem

2006 ◽  
Vol 13 (02) ◽  
pp. 181-196 ◽  
Author(s):  
Gongxiang Liu ◽  
Fang Li
Keyword(s):  
Main Task ◽  
Graded Rings ◽  
Graded Ring ◽  
Matrix Rings ◽  
Definition Of

In this paper, we introduce the definition of groupoid graded rings. Group graded rings, (skew) groupoid rings, artinian semisimple rings, matrix rings and others can be regarded as special kinds of groupoid graded rings. Our main task is to classify strongly groupoid graded rings by cohomology of groupoids. Some classical results about group graded rings are generalized to groupoid graded rings. In particular, the Clifford Theorem for a strongly groupoid graded ring is given.

scholarly journals Finite domination and Novikov homology over strongly ℤ-graded rings

2017 ◽  
Vol 221 (2) ◽  
pp. 661-685 ◽  
Author(s):  
Thomas Hüttemann ◽  
Luke Steers
Keyword(s):  
Graded Rings
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