Linear forms on free modules over certain local ring
Sylvester theorem for certain free modules
Desargues theorem for Klingenberg projective plane over certain local ring
On Hall planar ternary rings with ordered carrier sets
Galois triangle theory for direct summands of modules
Grassmann formula for certain type of modules
Galois triangle theory for certain free modules
Inertial law of symplectic forms on modules over plural algebra
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
A remark on spaces over a special local ring
This paper deals with A-spaces in the sense of McDonald over linear algebras A of a certain type. Necessary and sufficient conditions for a submodule to be an A-space are derived.
Inertial law of quadratic forms on modules over plural algebra
Quadratic forms on a free finite-dimensional module are investigated. It is shown that the inertial law can be suitably generalized provided the vector space is replaced by a free finite-dimensional module over a certain linear algebra over ( real plural algebra) introduced in [1].
Congruences in ordered sets and LU compatible equivalences
A concept of equivalence preserving upper and lower bounds in a poset is introduced. If is a lattice, this concept coincides with the notion of lattice congruence.
Geometry of Cyclic and Anticylic Algebras
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.
The decomposition of tensor spaces with almost complex structure
Page 1