Results 1 to 10 of about 1,140 (171)
Modules whose $p$-submodules are direct summands
Turkish Journal of Mathematics, 2018 Summary: In this article, we deal with modules with the property that all \(p\)-submodules are direct summands. In contrast to \(CLS\)-modules, it is shown that the former property is closed under finite direct sums, but it is not inherited by direct summands.
Yeliz Kara
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On isomorphism of minimal direct summands
Hokkaido Mathematical Journal, 1994 A subgroup \(A\) of a \(p\)-primary abelian group \(G\) is purifiable if there is a minimal pure subgroup of \(G\) containing \(A\). A given subgroup may or may not possess a pure hull. The paper is concerned with generalizations of ``purifiable''. A subgroup \(A\) is almost-dense in \(G\) if every pure subgroup containing \(A\) is dense in \(G\) (in ...
Takashi Okuyama
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Modules with the Direct Summand Sum Property [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vălcan, Dumitru
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Isomorphic direct summands of abelian groups
Mathematische Annalen, 1964 Pierce, R.S., BEAUMONT, R.A.
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Direct summands of klt singularities
Inventiones MathematicaeWe show that direct summands (or more generally, pure images) of klt type singularities are of klt type. As a consequence, we give a different proof of a recent result of Braun, Greb, Langlois and Moraga that reductive quotients of klt type singularities are of klt type.
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Hereditary Properties of Direct Summands of Algebras [PDF]
Mathematical Research Letters, 1999 For an algebra, \(R\), the authors investigate the property, which they call FCR, saying that any finite-dimensional representation is completely reducible and that each element of the algebra acts non-zero on some finite-dimensional representation.
Kraft, Hanspeter +2 more
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Nagoya Mathematical Journal, 2014 Abstract We prove new cases of the direct summand conjecture using fundamental theorems in p-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristic p.
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Direct summands of direct products of slender modules [PDF]
Pacific Journal of Mathematics, 1985 Suppose \(P=\prod_{I}G_ i\) is a direct product of slender R-modules. If \(| I|\) is non-measurable and A is a direct summand of P, then \(A=\prod_{J}A_ j\) where each \(A_ j\) is isomorphic to a direct summand of a countable direct product of \(G_ i's\).
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The Direct Summand Conjecture in Dimension Three [PDF]
The Annals of Mathematics, 2002 14 pages, no ...
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Anisotropy Factor Spectra for Weakly Allowed Electronic Transitions in Chiral Ketones
ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Anisotropy factor spectra for the weak n→π*‐type A‐band of chiral ketones cannot be described within the Franck–Condon approximation. Thus, we present such spectra computed by accounting for Herzberg–Teller corrections and compare them to experiments for fenchone, camphor and 3MCP to describe chiroptical properties of these molecules in the mid to near
Leon A. Kerber +5 more
wiley +1 more source