THE BROWN-MCCOY RADICAL IS NOT CLOSED UNDER PRODUCTS

Authors
OLSZEWSKI J
Citation
J. Olszewski, THE BROWN-MCCOY RADICAL IS NOT CLOSED UNDER PRODUCTS, Communications in algebra, 22(1), 1994, pp. 117-122
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
22
Issue
1
Year of publication
1994
Pages
117 - 122
Database
ISI
SICI code
0092-7872(1994)22:1<117:TBRINC>2.0.ZU;2-N
Abstract
In this paper we answer the question raised by Fisher whether the Brow n-McCoy radical is closed under products or equivalently - under ultra products. Morever, we prove that the radical is closed under ultraprod ucts with respect omega-complete ultrafilters.