Results 21 to 30 of about 2,272 (232)
Strict radicals and endomorphism rings [PDF]
, 2009 We consider the determination of ring radicals by classes of modules as rst discussed by Andrunakievich and Ryabukhin, but in cases where the modules concerned are dened by additive properties. Such a radical is the upper radical dened by the class of
B. J. Gardner
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Endomorphism Rings of Ordinary Abelian Varieties [PDF]
, 2022 The main objects of study in this thesis are abelian varieties and their endomorphism rings. Abelian varieties are not just interesting in their own right, they also have numerous applications in various areas such as in algebraic geometry, number theory
Sanon, Sogo Pierre
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Rings whose additive endomorphisms are ring endomorphisms [PDF]
Bulletin of the Australian Mathematical Society, 1990 A ring R is said to be an AE-ring if every additive endomorphism is a ring endomorphism. In this paper further steps are made toward solving Sullivan's Problem of characterising these rings. The classification of AE-rings with. R3 ≠ 0 is completed. Complete characterisations are given for AE-rings which are either: (i) subdirectly irreducible, (ii ...
Birkenmeier, Gary, Heatherly, Henry
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Describing Ideals of Endomorphism Rings [PDF]
Irish Mathematical Society Bulletin, 1997 By a result of Baer, the two-sided ideals in the ring of linear transformations of an infinite vector space can be characterized by a single cardinal invariant. The authors seek similar results for modules over discrete valuation rings. Recall that an endomorphism is called direct if both the kernel and the image are direct summands. For a free module \
Brendan Goldsmith, Simone Pabst
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ON COHERENCE OF ENDOMORPHISM RINGS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractLet R be a ring and U a left R-module with S=End(RU). The aim of this paper is to characterize when S is coherent. We first show that a left R-module F is TU-flat if and only if HomR(U,F) is a flat left S-module. This removes the unnecessary hypothesis that U is Σ-quasiprojective from Proposition 2.7 of Gomez Pardo and Hernandez [‘Coherence of ...
Zhu, Hai-Yan, Ding, Nan-Qing
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Pathological modules over tame rings [PDF]
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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Rings whose additive endomorphisms are ring endomorphisms [PDF]
Bulletin of the Australian Mathematical Society, 1992 A ring R is said to be an AE-ring if every endomorphism of its additive group R+ is a ring endomorphism. Clearly, the zero ring on any abelian group is an AE-ring. In a recent article, Birkenmeier and Heatherly characterised the so-called standard AE-lings, that is, the non-trivial AE-rings whose maximal 2-subgroup is a direct summand.
Dugas, Manfred +2 more
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, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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MODULES WITH ABELIAN ENDOMORPHISM RINGS [PDF]
, 2010 The results of Szele and Szendrei [‘On Abelian groups with commutative endomorphism rings’, Acta Math. Acad. Sci. Hungar.2 (1951), 309–324] characterizing abelian groups with commutative endomorphism rings are generalized to modules whose endomorphism ...
GRIGORE CĂLUGĂREANU, PHILL SCHULTZ
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RING ENDOMORPHISMS WITH LARGE IMAGES [PDF]
Glasgow Mathematical Journal, 2013 AbstractThe notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism σ of a prime one-sided noetherian ringRis injective whenever the image σ(R) contains an essential left idealLofR.
Leroy, André, Matczuk, Jerzy
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