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Structure of partially ordered cyclic semigroups

Józef Drewniak, Jolanta Sobera (2003)

Czechoslovak Mathematical Journal

This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.

Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

The extension of a lattice ordered group A by a generalized Boolean algebra B will be denoted by A B . In this paper we apply subdirect decompositions of A B for dealing with a question proposed by Conrad and Darnel. Further, in the case when A is linearly ordered we investigate (i) the completely subdirect decompositions of A B and those of B , and (ii) the values of elements of A B and the radical R ( A B ) .

Subdirectly irreducible MV-algebras

Hernando Gaitan (2003)

Czechoslovak Mathematical Journal

In this note we characterize the one-generated subdirectly irreducible MV-algebras and use this characterization to prove that a quasivariety of MV-algebras has the relative congruence extension property if and only if it is a variety.

Subgroups and hulls of Specker lattice-ordered groups

Paul F. Conrad, Michael R. Darnel (2001)

Czechoslovak Mathematical Journal

In this article, it will be shown that every -subgroup of a Specker -group has singular elements and that the class of -groups that are -subgroups of Specker -group form a torsion class. Methods of adjoining units and bases to Specker -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker -group.

Subtraction algebras and B C K -algebras

Young Hee Kim, Hee Sik Kim (2003)

Mathematica Bohemica

In this note we show that a subtraction algebra is equivalent to an implicative B C K -algebra, and a subtraction semigroup is a special case of a B C I -semigroup.

Subtraction semigroups

Bohdan Zelinka (1995)

Mathematica Bohemica

A subtraction semigroup is a semigroup ( A , . , - ) with a further operation " - " added, called subtraction and satisfying certain axioms. The paper concerns a problem by B. M. Schein concerning the structure of multiplication in a subtraction semigroup.

Currently displaying 81 – 100 of 110