Near-rings associated with matched pairs on ring modules
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- by C. J. Maxson and A. P. J. van der Walt PDF
- Proc. Amer. Math. Soc. 122 (1994), 665-675 Request permission
Abstract:
Let G be a module over a ring R, let $\mathcal {C} = \{ {C_i}\}, i \in I$, be a family of submodules of G, and let $\mathcal {H} = \{ {H_i}\}, i \in I$, where ${H_i}$ is a subgroup of $\operatorname {Hom}_R({C_i},G)$ with certain properties. To each such pair $(\mathcal {C},\mathcal {H})$, a near-ring $M(\mathcal {C},\mathcal {H})$ is associated, which is a generalization of the near-ring of homogeneous functions determined by (G, R). The transfer of information from module properties of ${G_R}$ reflected in $(\mathcal {C},\mathcal {H})$ to structural properties of $M(\mathcal {C},\mathcal {H})$ is investigated.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 665-675
- MSC: Primary 16Y30
- DOI: https://doi.org/10.1090/S0002-9939-1994-1203989-3
- MathSciNet review: 1203989