All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 6 Next

Displaying 101 – 120 of 449

Showing per page

Generalized cardinal properties of lattices and lattice ordered groups

Ján Jakubík (2004)

Czechoslovak Mathematical Journal

We denote by K the class of all cardinals; put K ' = K ∪ { ∞ } . Let 𝒞 be a class of algebraic systems. A generalized cardinal property f on 𝒞 is defined to be a rule which assings to each A ∈ 𝒞 an element f A of K ' such that, whenever A 1 , A 2 ∈ 𝒞 and A 1 ≃ A 2 , then f A 1 = f A 2 . In this paper we are interested mainly in the cases when (i) 𝒞 is the class of all bounded lattices B having more than one element, or (ii) 𝒞 is a class of lattice ordered groups.

Generalized F -semigroups

E. Giraldes, P. Marques-Smith, Heinz Mitsch (2005)

Mathematica Bohemica

A semigroup S is called a generalized F -semigroup if there exists a group congruence on S such that the identity class contains a greatest element with respect to the natural partial order ≤ S of S . Using the concept of an anticone, all partially ordered groups which are epimorphic images of a semigroup ( S , · , ≤ S ) are determined. It is shown that a semigroup S is a generalized F -semigroup if and only if S contains an anticone, which is a principal order ideal of ( S , ≤ S ) . Also a characterization by means of the structure...

Currently displaying 101 – 120 of 449