On arbitrarily graded rings

Proceedings of the Indian Academy of Sciences. Mathematical sciences

FRANCISCO J NAVARRO IZQUIERDO^1¹ 

[1] Department of Mathematics, Faculty of Sciences, University of Cádiz, Campus de Puerto Real, 11510 Puerto Real, Cádiz, Spain^1

关键词: Graded ring;    structure theory;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Let $\Re$ be a ring graded by an arbitrary set $A$. We show that $\Re$ decomposes as the sum of the well-described graded ideals plus (maybe) a certain subgroup.We also provide a context where the graded simplicity of $\Re$ is characterized and where a second Wedderburn-type theorem in the category of arbitrarily graded rings is stated.

【 授权许可】

CC BY