Sorry, the nilpotents are in the center

• Published in 2018
• Added on 2023-11-17

The behavior of nilpotents can reveal valuable information about the algebra. We give a simple proof of a classic result that a finite ring is commutative if all its nilpotents lie in the center.

Links

• http://arxiv.org/abs/1805.11451v4
• http://arxiv.org/pdf/1805.11451v4

Other information

BibTeX entry

@article{Sorrythenilpotentsareinthecenter,
	key = {Sorrythenilpotentsareinthecenter},
	type = {article},
	title = {Sorry, the nilpotents are in the center},
	author = {Vineeth Chintala},
	abstract = {The behavior of nilpotents can reveal valuable information about the algebra.
We give a simple proof of a classic result that a finite ring is commutative if
all its nilpotents lie in the center.},
	comment = {},
	date_added = {2023-11-17},
	date_published = {2018-04-10},
	urls = {http://arxiv.org/abs/1805.11451v4,http://arxiv.org/pdf/1805.11451v4},
	collections = {attention-grabbing-titles},
	url = {http://arxiv.org/abs/1805.11451v4 http://arxiv.org/pdf/1805.11451v4},
	year = 2018,
	urldate = {2023-11-17},
	archivePrefix = {arXiv},
	eprint = {1805.11451},
	primaryClass = {math.RA}
}