Near-rings with descending chain condition

Steve Ligh

Compositio Mathematica (1969)

  • Volume: 21, Issue: 2, page 162-166
  • ISSN: 0010-437X

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Ligh, Steve. "Near-rings with descending chain condition." Compositio Mathematica 21.2 (1969): 162-166. <http://eudml.org/doc/89007>.

@article{Ligh1969,
author = {Ligh, Steve},
journal = {Compositio Mathematica},
keywords = {generalized rings, nonassociative rings},
language = {eng},
number = {2},
pages = {162-166},
publisher = {Wolters-Noordhoff Publishing},
title = {Near-rings with descending chain condition},
url = {http://eudml.org/doc/89007},
volume = {21},
year = {1969},
}

TY - JOUR
AU - Ligh, Steve
TI - Near-rings with descending chain condition
JO - Compositio Mathematica
PY - 1969
PB - Wolters-Noordhoff Publishing
VL - 21
IS - 2
SP - 162
EP - 166
LA - eng
KW - generalized rings, nonassociative rings
UR - http://eudml.org/doc/89007
ER -

References

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  1. R. Baer [1] Inverses and zero divisors, Bull. Amer. Math. Soc.48 (1942), 630-8. Zbl0060.07103MR6997
  2. J.C. Beidleman [2] Distributively generated near-rings with descending chain condition, Math. Zeitschr.91 (1966), 65-69. Zbl0131.01604MR184972
  3. J.R. Clay [3] The Near-rings on a Finite Cyclic Group, Amer. Math. Monthly, 71 (1964), 47-50. Zbl0118.26401MR1532476
  4. J.R. Clay and J.J. Malone, Jr. [4] The Near-rings with Identities on Certain Finite Groups, Math. Scand.19 (1966), 146-150. Zbl0149.02701MR207774
  5. L.E. Dickson [5] On Finite Algebras, Nachr. Ges. Wiss. Göttingen, (1904), 358-393. Zbl36.0138.03JFM36.0138.03
  6. A. Fröhlich [6] Distributively generated near-rings (I. Ideal Theory), Proc. London Math. Soc.8 (1958), 76-94. Zbl0079.26003MR92774
  7. H.E. Heatherly [7] Near-rings on Certain Groups (to appear). 
  8. C. Hopkins [8] Rings with minimum condition for left ideals, Annals of Math.40 (1939), 712-730. Zbl0022.10602MR12JFM65.0088.02
  9. R.A. Jacobson [9] The Structure of Near-rings on a Group of Prime order, Amer. Math. Monthly73 (1966), 59-61. Zbl0142.00501MR200314
  10. S. Ligh [10] On Division Near-rings, Canad. J. Math. (to appear). Zbl0191.02903MR251084
  11. J.J. Malone, Jr. [11] Near-rings with Trivial Multiplications, Amer. Math. Monthly74 (1967), 1111-1112. Zbl0153.35703MR225824
  12. C.J. Maxson [12] On Finite Near-rings with Identity, Amer. Math. Monthly74 (1967), 1228-1230. Zbl0153.35702MR220777
  13. B.H. Neumann [13] On the commutativity of addition, J. London Math. Soc.15 (1940), 203-208. Zbl0027.15401MR2851JFM66.0109.01
  14. H. Zassenhaus [14] Über endlich Fastkörper, Abh. Math. Sem., Univer. Hamburg, 11 (1936), 187-220. Zbl0011.10302JFM61.0126.01

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