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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1967 Volume 31, Issue 6, Pages 1229–1238 (Mi im2584)

This article is cited in 2 papers

On lattice isomorphisms of cancellative semigroups allowing ordering

L. N. Shevrin


Abstract: The article contains a description of semigroups lattice-isomorphic to cancellative semigroups allowing positive ordering, and indicates the type of mapping inducing any lattice isomorphism of a cancellative semigroup allowing positive ordering. Various corollaries of the basic result are listed; in particular, it is shown that the study of lattice isomorphism of arbitrary cancellative semigroups allowing ordering reduces entirely to the case of semigroups without identity.

UDC: 519.4

MSC: 20Mxx

Received: 11.01.1966


 English version:
Mathematics of the USSR-Izvestiya, 1967, 1:6, 1177–1185

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© Steklov Math. Inst. of RAS, 2026