A general coordinatization principle for projective planes with comparison of Hall and Hughes frames and with examples of generalized oval frames
A note on quasi and bi-duals in ternary semigroups.
Belousov equations on ternary quasigroups.
Concerning Abelian-Regular Transitive Triple Systems
Congruences and ideals in ternary rings
A ternary ring is an algebraic structure of type satisfying the identities and where, moreover, for any , , there exists a unique with . A congruence on is called normal if is a ternary ring again. We describe basic properties of the lattice of all normal congruences on and establish connections between ideals (introduced earlier by the third author) and congruence kernels.
Construction of all homomorphisms of groupoids
Construction of countable ternary rings of suitable types [Abstract of thesis]
Convex lines in median groups
There is proved that a convex maximal line in a median group , containing 0, is a direct factor of .
Coordinatization of projective planes by special planar ternary rings
Dimension theory for cyclically and cocyclically ordered sets
Eine Bemerkung über eine Koordinatisierung der Translationsebenen
Epimorphismen von lokalen Ternärringen
Erweiterte lokale Ternärringe
Extended Triple Systems.
Faithful homogeneous spaces over commutative groups and TST-spaces.
A set Q is a faithful homogeneous space over a commutative group iff there is a family S of mappings such that (Q,S) is a TST-space.
Induced isomorphisms of certain ternary semigroups
Isomorphism of projective planes and isotopism of planar ternary rings
Isotopic invariants of natural planar ternary rings
In the paper the invariant (geometrical) character of some properties of natural planar ternary rings is shown by using isotopic transformations.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Koordinatisation projektiver Ebenen mit Homomorphismus