On classical Krull dimension of group-graded rings

Author:

Kelarev A. V.

Abstract

For any ring R graded by a finite group, we give a bound on the classical Krull dimension of R in terms of the dimension of the initial component Re. It follows that if Re has finite classical Krull dimension, then the same is true of the whole ring R, too.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. INCIDENCE SEMIRINGS OF GRAPHS AND VISIBLE BASES;Bulletin of the Australian Mathematical Society;2013-09-12

2. OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS;Bulletin of the Australian Mathematical Society;2011-10-04

3. Partial Skew Group Rings Over Polycyclic by Finite Groups;Algebras and Representation Theory;2009-12-18

4. A POLYNOMIAL RING CONSTRUCTION FOR THE CLASSIFICATION OF DATA;Bulletin of the Australian Mathematical Society;2009-03-13

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