no. 1
Semirings with descending chain condition and without nilpotent elements
Compositio Mathematica, Tome 23 (1971) no. 1, pp. 79-85. 
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     title = {Semirings with descending chain condition and without nilpotent elements},
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     pages = {79--85},
     publisher = {Wolters-Noordhoff Publishing},
     volume = {23},
     number = {1},
     year = {1971},
     mrnumber = {283031},
     zbl = {0211.35601},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1971__23_1_79_0/}
}
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Mosher, James R. Semirings with descending chain condition and without nilpotent elements. Compositio Mathematica, Tome 23 (1971) no. 1, pp. 79-85. http://archive.numdam.org/item/CM_1971__23_1_79_0/

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