J
John A. Beachy
Researcher at Northern Illinois University
Publications - 46
Citations - 438
John A. Beachy is an academic researcher from Northern Illinois University. The author has contributed to research in topics: Torsion (algebra) & Noetherian. The author has an hindex of 12, co-authored 45 publications receiving 425 citations. Previous affiliations of John A. Beachy include University of Washington.
Papers
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Journal ArticleDOI
Rings whose faithful left ideals are cofaithful.
John A. Beachy,William D. Blair +1 more
TL;DR: In this paper it was shown that a semiprime ring R is left Goldie, that is, has a semisimple Artinian left quotient ring, if and only if R satisfies (i) every faithful left ideal is cofaithful and (ii) every nonzero left ideal contains a nonzero uniform left ideal.
Journal ArticleDOI
M-injective modules and prime m-ideals
TL;DR: In this article, it was shown that there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules and prime M-ideals.
Book
Introductory lectures on rings and modules
TL;DR: In this article, the structure of non-commutative rings is discussed and a list of symbols for finite groups is given. But this list is limited to rings and does not cover non-monotone rings.
Journal ArticleDOI
Finitely annihilated modules and orders in artinian rings
John A. Beachy,William D. Blair +1 more