Semirings with descending chain condition and without nilpotent elements

James R. Mosher

Compositio Mathematica (1971)

  • Volume: 23, Issue: 1, page 79-85
  • ISSN: 0010-437X

How to cite

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Mosher, James R.. "Semirings with descending chain condition and without nilpotent elements." Compositio Mathematica 23.1 (1971): 79-85. <http://eudml.org/doc/89077>.

@article{Mosher1971,
author = {Mosher, James R.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {79-85},
publisher = {Wolters-Noordhoff Publishing},
title = {Semirings with descending chain condition and without nilpotent elements},
url = {http://eudml.org/doc/89077},
volume = {23},
year = {1971},
}

TY - JOUR
AU - Mosher, James R.
TI - Semirings with descending chain condition and without nilpotent elements
JO - Compositio Mathematica
PY - 1971
PB - Wolters-Noordhoff Publishing
VL - 23
IS - 1
SP - 79
EP - 85
LA - eng
UR - http://eudml.org/doc/89077
ER -

References

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  1. E. Artin, C.J. Nesbitt and R.M. Thrall [1] Rings with minimum condition (University of Michigan Publication in Mathematics, no. 1, 1944. Zbl0060.07701MR10543
  2. S. Bourne and H. Zassenhaus [2] On the semiradical of a semiring, Proc. Nat. Acad. Sci. U.S.A., vol. 44 (1958), pp. 907-914. Zbl0084.03403MR97430
  3. N.J. Divinsky [3] Rings and Radicals, Mathematical Expositions no. 14, Toronto: University o f Toronto Press, 1965. MR197489
  4. A. Forsythe and N. Mccoy [4] On the commutativity of certain rings, Bull. Amer. Math. Soc., vol. 52 (1946), pp. 523-526. Zbl0060.07705MR16093
  5. I.N. Herstein [5] Noncommutative Rings, The Carus Mathematical Monographs no. 15, The Mathematical Association of America, 1968. Zbl0177.05801MR227205
  6. A. Kertész [6] Vorlesungen über Artinsche Ringe, Akad. Kiado, 1968. Zbl0162.04902MR240128
  7. J.R. Mosher [7] Generalized quotients of hemirings, Compositio Mathematica, vol. 22 (1970), pp. 275-281. Zbl0205.05302MR272837
  8. F. Szász [8] Über Ringe mit Minimalbedingung für Hauptrechtsideale, III, Acta Math., 14 (1963), pp. 447-461 Zbl0138.26502MR157983

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