Semi-ideals in semi-lattices
Semilattice theory with applications to point-set topology
Semilattices do not have equationally compact hulls
Semilattices of width 2.
Semi-local lattices
Semimodularity and weak modularity in subalgebra lattices of completely simple semigroups.
Semimodularity in lower continuous strongly dually atomic lattices
For lattices of finite length there are many characterizations of semimodularity (see, for instance, Grätzer [3] and Stern [6]–[8]). The present paper deals with some conditions characterizing semimodularity in lower continuous strongly dually atomic lattices. We give here a generalization of results of paper [7].
Separation properties in congruence lattices of lattices
We investigate the congruence lattices of lattices in the varieties . Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in have different congruence lattices.
Sequential convergences in distributive lattices
In this paper we investigate the system Conv of all sequential convergences on a distributive lattice .
Sequential convergences in lattices
The notion of sequential convergence on a lattice is defined in a natural way. In the present paper we investigate the system of all sequential convergences on a lattice .
Signed states on a logic
Simple and subdirectly irreducibles bounded distributive lattices with unary operators.
Some algebraic aspects of tournament theory
Some characterizations of completeness for trellises in terms of joins of cycles
This paper gives some new characterizations of completeness for trellises by introducing the notion of a cycle-complete trellis. One of our results yields, in particular, a characterization of completeness for trellises of finite length due to K. Gladstien (see K. Gladstien: Characterization of completeness for trellises of finite length, Algebra Universalis 3 (1973), 341–344).
Some examples of primitive lattices
Some examples of weakly associative lattices
Some finite congruence lattices, I
Some Maximal Closed Classes of Operations on Infinite Sets.
Some methods to obtain t-norms and t-conorms on bounded lattices
In this study, we introduce new methods for constructing t-norms and t-conorms on a bounded lattice based on a priori given t-norm acting on and t-conorm acting on for an arbitrary element . We provide an illustrative example to show that our construction methods differ from the known approaches and investigate the relationship between them. Furthermore, these methods are generalized by iteration to an ordinal sum construction for t-norms and t-conorms on a bounded lattice.
Some operations on lattice implication algebras.