Results 141 to 150 of about 1,140 (171)

Direct Sums of Cyclic Summands

open access: yesDirect Sums of Cyclic Summands
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Direct summands of products

Archiv Der Mathematik, 2002
Let \(R\) be a ring. All modules considered are right modules. A module \(M\) is said to be (finitely) product-rigid if any (finitely presented) direct summand of a product of copies of \(M\) having a local endomorphism ring is isomorphic to some indecomposable direct summand of \(M\) itself.
Lidia Angeleri Hugel
exaly   +5 more sources

Submodules and direct summands

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A N Abyzov, A A Tuganbaev, Abyzov A N
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Direct summands inl-groups

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
SynopsisWe discuss convexl-subgroups of anl-groupGin their role as direct summands, not so much ofGas of each other. This is done by writingA≥dBfor subgroupsA, Bto mean thatAis a direct summand ofB, and studying the properties of the resulting poset. It is shown to be a hypolattice, that is, to have local lattice properties in a certain sense.
John Boris Miller
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Rings with many direct summands

Archiv Der Mathematik, 1991
Let R be a ring, and let X be a class of right R-modules which contains the zero module, is closed under isomorphism, and is such that every module in X has finite uniform dimension. The author investigates the situation in which every cyclic right R-module is the direct sum of a projective module and a module in the class X. A characterisation of such
Patrick F Smith
exaly   +3 more sources

Direct summands of vector groups

Acta Mathematica Hungarica, 1990
Cartesian products of subgroups of the rationals are called vector groups. The author deals with the well-known problem whether the class of vector groups is closed under taking direct summands. The answer is yes in some special cases considered in recent years. The author provides a Lemma 2 (p. 207) which serves for the purpose to overcome a defective
exaly   +3 more sources

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