A note on geometric mappings
A Note on Hemi-Primal Algebras.
A note on homotopy in universal algebra
A note on idempotent modifications of groups
The idempotent modification of a group is always a subdirectly irreducible algebra.
A note on idempotent separating congruences on a regular semigroup
A Note on Integral Near-Rings.
A note on isomorphic varieties
A note on normal varieties of monounary algebras
A variety is called normal if no laws of the form are valid in it where is a variable and is not a variable. Let denote the lattice of all varieties of monounary algebras and let be a non-trivial non-normal element of . Then is of the form with some . It is shown that the smallest normal variety containing is contained in for every where denotes the operator of forming choice algebras. Moreover, it is proved that the sublattice of consisting of all normal elements of...
A note on permutability in varieties
A note on reflective subcategories defined by partial algebras
A note on some varieties of point algebras
A note on square extensions of bands.
A note on subdirectly irreducible groupoids
A Note on the Embedding Property.
A note on the finite extensivity property
A note on the strongly compatible tolerances on an arbitrary semigroup
A note on tolerance lattices
A note on tolerance lattices of algebras with restricted similarity type
A note on triangular schemes for weak congruences
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties—Triangular Principles—are equivalent to weak congruence modularity and distributivity.
A note on varieties of unary algebras