The local and global varieties induced by nilpotent monoids
The local catenativity of DOL-sequences in free commutative monoids is decidable in the binary case
The local integration of Leibniz algebras
This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article ends with...
The local semilattice of chains of idempotents.
The maximal quotient semigroup.
The maximal regular ideal of the semigroup of binary relations
The maximal semigroup of quotients of a finite semilattice.
The Maximal Semilattice Decomposition of a Semigroup
The Maximal Semilattice Decomposition of a Semigroup, Radicals and Nilpotency
The maximal subsemigroups of the ideals of some semigroups of partial injections
We study the structure of the ideals of the semigroup of all isotone (order-preserving) partial injections as well as of the semigroup of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of and .
The minimal right -ideal of the free semigroup on a countable set
The Minimum group congruence on an ...-unipotent semi group.
The minimum reflexive subsemigroup generated generated by the sat of idempotents of a regular subsemigroup.
The Mitsch order on a semigroup.
The monoid of generalized hypersubstitutions of type τ = (n)
A (usual) hypersubstitution of type τ is a function which takes each operation symbol of the type to a term of the type, of the same arity. The set of all hypersubstitutions of a fixed type τ forms a monoid under composition, and semigroup properties of this monoid have been studied by a number of authors. In particular, idempotent and regular elements, and the Green’s relations, have been studied for type (n) by S.L. Wismath. A generalized hypersubstitution of type τ=(n) is a mapping σ which takes...
The monoid of ordered partitions of a natural number.
The monoid of strong endomorphisms of a graph.
The monoid of suspensions and loops modulo Bousfield equivalence
The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.
The monomorphism semigroup of S(X).
The multiplicative behavior of H.