Zobrazeno 1 - 10 of 173 pro vyhledávání: '"Greg Oman"'
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A characterization of potent rings
Autor: Greg Oman
Publikováno v: Glasgow Mathematical Journal. :1-4
An associative ring R is called potent provided that for every $x\in R$ , there is an integer $n(x)>1$ such that $x^{n(x)}=x$ . A celebrated result of N. Jacobson is that every potent ring is commutative. In this note, we show that a ring R is potent
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::797c1e6fcf360182bc54dff01543246f
https://doi.org/10.1017/s0017089522000325
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8
A characterization of large Dedekind domains
Autor: Greg Oman
Publikováno v: Archiv der Mathematik. 115:159-168
Let D be a commutative domain with identity, and let $${\mathcal {L}}(D)$$ be the lattice of nonzero ideals of D. Say that D is ideal upper finite provided $${\mathcal {L}}(D)$$ is upper finite, that is, every nonzero ideal of D is contained in but f
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a5074c10a816d513a3918925f9857523
https://doi.org/10.1007/s00013-020-01443-6
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9
Rings with arithmetical closure properties relative to the prime spectrum and its complement
Autor: Greg Oman
Publikováno v: Communications in Algebra. 48:2041-2050
Let R be a commutative unital ring, and let Spec(R):=P(R) be the collection of prime ideals of R. Further, let NP(R) denote the collection of proper nonprime ideals of R and set NP(R)1:=NP(R)∪{R}. ...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::34546c1ae7832cc5e99d4e9bdea2fc8a
https://doi.org/10.1080/00927872.2019.1710170
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