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Some properties of linear right ideal nearrings. (English) Zbl 1041.16039

This paper continues [K. D. Magill jun., Int J. Math. Math. Sci. 27, No. 11, 663-674 (2001; Zbl 0998.16034)] where linear right ideal (topological) nearrings were introduced and described as belonging to one of four “types” (according to certain ways to calculate the product of two elements). Now a very detailed analysis of the structure of such nearrings, mainly centered on Green’s relations on its multiplicative subgroup improves the previous description and proves that isomorphic linear right ideal nearrings must be of the same “type”.

MSC:

16Y30 Near-rings
54H13 Topological fields, rings, etc. (topological aspects)

Citations:

Zbl 0998.16034
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