Lattice isomorphisms of modular inverse semigroups

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چکیده

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On lattice isomorphisms of inverse semigroups, II

A lattice isomorphism between inverse semigroups S and T is an isomorphism between their lattices of inverse subsemigroups. When S is aperiodic, it has long been known that a bijection is induced between S and T . Various authors have introduced successively weaker ‘archimedean’ hypotheses under which this bijection is necessarily an isomorphism, naturally inducing the original lattice isomorph...

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ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 1988

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s0013091500037627