Results 151 to 160 of about 1,140 (171)

Mutual direct summands

Archiv Der Mathematik, 1974
Holzsager, Richard, Hallahan, Charles
exaly   +2 more sources

Isomorphic minimal direct summands of QTAG-modules

Sao Paulo Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Modules in Which Sums or Intersections of Two Direct Summands Are Direct Summands

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abyzov A., Tuganbaev A.
openaire   +1 more source

Properties of direct summands of modules

Communications in Algebra, 1989
exaly   +2 more sources

Generalized direct summands in an Abelian category

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1985
An Abelian group \(A\) is quasi-splitting if there is an integer \(n\) and a subgroup \(C\) such that \(nA\leq tA\oplus C\leq A\) where \(tA\) is the torsion subgroup of \(A\). \textit{C. P. Walker} [Acta. Math. Acad. Sci. Hung. 15, 157-160 (1964; Zbl 0136.290)] proved that \(A\) is quasi-splitting if and only if \(tA\rightarrowtail A\twoheadrightarrow
T.H., Fay, M.J., Schoeman
openaire   +2 more sources

Direct summands of direct products of Abelian groups

Archiv Der Mathematik, 1960
Elbert A Walker, Walker Elbert A
exaly   +3 more sources

Direct Summands of ⊕-Supplemented Modules

Algebra Colloquium, 2007
A module M is called ⊕-supplemented if every submodule of M has a supplement that is a direct summand of M. It is shown that if M is a ⊕-supplemented module and r(M) is a coclosed submodule of M for a left preradical r, then r(M) is a direct summand of M, and both r(M) and M/r(M) are ⊕-supplemented.
Nil Orhan, Derya Keskin Tütüncü, Rachid Tribak   +2 more
openaire   +1 more source

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 .
openaire   +1 more source

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
openaire   +2 more sources

C4- and D4-Modules via perspective direct summands

Communications in Algebra, 2018
Mohamed Yousif
exaly