Finitely generated right ideals of transformation near-rings
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- by S. D. Scott PDF
- Proc. Amer. Math. Soc. 78 (1980), 475-476 Request permission
Abstract:
If V is an additive group, ${M_0}(V)$ the near-ring of zero-fixing maps of V into V, then the finitely generated right ideals of ${M_0}(V)$ are easily characterised. These are just the annihilators of subsets of V. Moreover, finitely generated right ideals of ${M_0}(V)$ are generated by a single element.References
- Marjory J. Johnson, Maximal right ideals of transformation near-rings. part 4, J. Austral. Math. Soc. 19 (1975), no. part 4, 410–412. MR 0371966
- Günter Pilz, Near-rings, North-Holland Mathematics Studies, No. 23, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. The theory and its applications. MR 0469981
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 475-476
- MSC: Primary 16A76
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556615-0
- MathSciNet review: 556615