This article is cited in 1 paper

Three theorems on linear ordered periodic semigroups

E. Ya. Gabovich

Tartu State University

Abstract: This paper is devoted to some classes of linearly ordered periodic semigroups ($op$-semigroups). Theorem 1 yields an abstract characteristic of $op$-semigroups with different contractibility and reversibility. Theorem 2 describes completely pre-ordered nilsemigroups. The Dubreil result that an $op$-semigroup with commutative subsemigroup of idempotents $E$ is residual of their convex nilsubsemigroups is extended in the last theorem, to the case of some non-commutative $E$.

UDC: 512.4

Received: 25.03.1968

 English version: Mathematical Notes, 1969, 6:2, 570–574

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