A certain Galois connection and weak automorphisms
A Galois correspondence for universal algebras
A transvection decomposition in GL(n,2)
An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.
Adjoint Semilattice and Minimal Brouwerian Extensions of a Hilbert Algebra
Let be a Hilbert algebra. The monoid of all unary operations on generated by operations , which is actually an upper semilattice w.r.t. the pointwise ordering, is called the adjoint semilattice of . This semilattice is isomorphic to the semilattice of finitely generated filters of , it is subtractive (i.e., dually implicative), and its ideal lattice is isomorphic to the filter lattice of . Moreover, the order dual of the adjoint semilattice is a minimal Brouwerian extension of , and the...
Algebras determined by their endomorphism monoids
Automorphism Groups of Finite Distributive Lattices with a Given Sublattice of Fixed Points.
Automorphisms of categories of free algebras of varieties.