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<p>In this paper we first characterize the structure of a strong semilattice of left groups. We then prove an Isomorphism Theorem on strong semilattices of left zero semigroups and using this we prove the Isomorphism Theorem on strong semilattices of left groups. Finally we investigate the endomorphism monoid of a strong semilattice of left groups.</p>

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Structure and endomorphisms of a strong semilattice of left groups

  • 期刊论文

  • 发表日期：

    2025年9月19日

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  • Aftab Hussain Shah,
  • Shariq Ali Attari

摘要

In this paper we first characterize the structure of a strong semilattice of left groups. We then prove an Isomorphism Theorem on strong semilattices of left zero semigroups and using this we prove the Isomorphism Theorem on strong semilattices of left groups. Finally we investigate the endomorphism monoid of a strong semilattice of left groups.