Radicals and polynomial rings

Autor:	K.I. Beidar, Edmund Puczyłowski, R. Wiegandt
Rok vydání:	2002
Předmět:	Discrete mathematics Pure mathematics Mathematics::Commutative Algebra Approximations of π General Mathematics Radical Polynomial ring Semiprime ring Prime (order theory) Mathematics
Zdroj:	Journal of the Australian Mathematical Society. 72:23-32
ISSN:	1446-8107 1446-7887
DOI:	10.1017/s1446788700003554
Popis:	We prove that polynomial rings in one indeterminate over nil rings are antiregular radical and uniformly strongly prime radical. These give some approximations of Köthe's problem. We also study the uniformly strongly prime and superprime radicals of polynomial rings in non-commuting indeterminates. Moreover, we show that the semi-uniformly strongly prime radical coincides with the uniformly strongly prime radical and that the class of semi-superprime rings is closed under taking finite subdirect sums.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a75a7642a7a0074dee090a92313fe13a https://doi.org/10.1017/s1446788700003554 Zobrazit plný text záznamu