2017年4月29日 · You might consult Chapter 9 in Milies, Sehgal, "An Introduction to Group Rings". It discusses how several invariants of groups are encoded in their integral group rings, and …

I'll try again. First question: what's the meaning of the expression RG-module (I've found it in Robinson textbook)? Does it stand for the module over the group ring RG (R ring, G group)? …

Understanding the completed group algebra of a profinite ring. Hot Network Questions Active analog summing circuit with very high noise floor

A ring is an abelian group with an additional operation, where the second operation is associative and the distributive property make the two operations "compatible". A field is a ring such that …

Two good resources I can recommend are Passman's Algebraic structure of group rings and Lam's First course on noncommutative rings I think has some information on this. I don't have …

2019年9月2日 · How to recover the integral group ring? 2. What does this linear system look like? 3.

The algebraic structure of group rings. Pure and Applied Mathematics. Pure and Applied Mathematics. Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1977.

2020年10月3日 · Center of a ring is a subring that contains identity, but what happens in the case of ring of all Even integers? 1 Surjective Ring Homomorphism mapping center to center

I think being able to properly visualize what elements of this group ring look like might be rather helpful in figuring out how to do this problem. Next, I know that $\mathbb{Z}_{n}$ itself can be …

$\begingroup$ In response to your last paragraph, I learned that one way to think about Hopf algebras in general is to think of them as those algebras whose representations behave like …