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Direct product of four classes of groups

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Abstract

For a group G, let \({{\mathcal E}(G)}\) denotes the near-ring of functions generated by the semigroup, End(G), of endomorphisms of G. Furthermore let \({D({\mathcal E}(G))}\) denotes the set of distributive elements of \({{\mathcal E}(G)}\) . The class of all groups is partitioned into four subclasses corresponding to how \({D({\mathcal E}(G))}\) sits between End(G) and \({ {\mathcal E}(G)}\) . In this paper, we discuss the direct product of these subclasses of groups.

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Authors and Affiliations

  1. Department of Mathematics, Alzahra University, 19834, Vanak, Tehran, Iran

    Mehri Akhavan-Malayeri & Nahid Yousefi

Authors
  1. Mehri Akhavan-Malayeri
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  2. Nahid Yousefi
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Correspondence to Mehri Akhavan-Malayeri.

Additional information

The first auther is grateful to Alzahra university for their financial support.

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Akhavan-Malayeri, M., Yousefi, N. Direct product of four classes of groups. Beitr Algebra Geom 53, 211–217 (2012). https://doi.org/10.1007/s13366-011-0072-4

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  • DOI: https://doi.org/10.1007/s13366-011-0072-4

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