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Some properties of linear right ideal nearrings. - MaRDI portal

Some properties of linear right ideal nearrings. (Q1415248)

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scientific article; zbMATH DE number 2012667
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Some properties of linear right ideal nearrings.
scientific article; zbMATH DE number 2012667

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    Some properties of linear right ideal nearrings. (English)
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    3 December 2003
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    This paper continues [\textit{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''.
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    topological nearrings
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    Green relations
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    Euclidean nearrings
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    vector spaces
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