Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a question of Mohamed and M\"uller   A module $M$ is called H-supplemented if for every submodule $A$ of $M$ there
is a direct summand $A'$ of $M$ such that $A+X=M$ holds if and only if $A'+X=M$
for any submodule $X$ of $M$. (Equivalently, for each $X\leq M$, there exists a
direct summand $D$ of $M$ such that $(X+D)/D\ll M/D$ and $(X+D)/X\ll M/X$.)
Direct summands and sums of H-supplemented modules are studied and a question
posed by Mohamed and M\"uller in 1990 is answered in the negative.

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The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas