EUDML

On the lattice $L (C R)$ of varieties of completely regular semigroups considered as algebras with the binary multiplication and unary inversion within maximal subgroups, we study the relations $K_{l}$ , $K$ , $K_{r}$ , $T_{l}$ , $T$ , $T_{r}$ , $C$ and $L$ . Here $K$ is the kernel relation, $T$ is the trace relation, $T_{l}$ and $T_{r}$ are the left and the right trace relations, respectively, $K_{p} = K \cap T_{p}$ for $p \in \{l, r\}$ , $C$ is the core relation and $L$ is the local relation. We give an alternative definition for each of these relations $P$ of the form $U P V \Leftrightarrow U \cap \tilde{P} = V \cap \tilde{P} (U, V \in L (C R)),$ for some subclasses $\tilde{P}$ of $C R$ ....

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Onesided inverses for semigroups.

Special congruence triples for a regular semigroup.

A special congruence lattice of a regular semigroup.

The maximal matrix decomposition of a semigroup

Relatively free *-bands.

Congruences on strong semilattices of regular simple semigroups.

Sur la décomposition demi-réticulée maximale d'un demi-groupe

L'enveloppe de translations d'un demi-treillis de groupes

Two Congruence Lattices of Completely Simple Semigroups.

The maximal semilattice decomposition of a semigroup.

All subvarieties of a certain variety of semigroups.

Dense extensions of completely 0-simple semigroups. II.

Dense extensions of completely 0-simple semigroups. I.

Completely semisimple semigroups whose idempotents from a tree.

Free inverse semigroups

Extensions normales de demi-groupes inverses

Some relations on the lattice of varieties of completely regular semigroups

On ideals of a semilattice

On the structure of a class of commutative semigroups

Semigroups certain of whose subsemigroups have identities