Geodesic
Operators of discrete convolution type and their Noetherianess
Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 417-423.

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The class of all multiplication operators is described which up to a compact summand commute with the convolution operators in $L_p(H)$ $(1\le p\le\infty)$, where $H$ is an infinite discrete Abelian group. A criterion is established for the operators in the algebra generated by these multiplication operators and the convolution operators to be Noetherian. 
@article{MZM_1978_23_3_a9,
     author = {B. J. Steinberg},
     title = {Operators of discrete convolution type and their {Noetherianess}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {417--423},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a9/}
}
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B. J. Steinberg. Operators of discrete convolution type and their Noetherianess. Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 417-423. http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a9/