Results 201 to 210 of about 1,430 (227)

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
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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
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Modules with many direct summands

Journal of Mathematical Sciences, 2008
We study rings over which all right modules are I0-modules. All rings are assumed to be associative and with nonzero identity element. For a module M , a submodule N of M is said to be superfluous if N +P = M for every proper submodule P of the module M .
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Mutual direct summands

Archiv der Mathematik, 1974
Holzsager, Richard, Hallahan, Charles
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Direct sums of cyclic summands

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1983
Doyle, Cutler, John, Irwin, James, Pfaendtner, Tom, Snabb   +3 more
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Isomorphic minimal direct summands of QTAG-modules

São Paulo Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modules in Which Every Fully Invariant Submodule is Essential in a Direct Summand

Communications in Algebra, 2002
Gary F Birkenmeier, S Tariq Rizvi
exaly   +2 more sources

THE DECOMPOSITION OF ABELIAN GROUPS INTO DIRECT SUMMANDS

The Quarterly Journal of Mathematics, 1935
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On the algebraic reduction theory for countable direct summand C*-algebras of separable C*-algebras

Lecture Notes in Mathematics, 1978
Hideo Takemoto
exaly  

RINGS IN WHICH EVERY COMPLEMENT RIGHT IDEAL IS A DIRECT SUMMAND

Quarterly Journal of Mathematics, 1977
A W Chatters
exaly