5 papers
On some connected groups of automorphisms of Weil algebras
Miroslav Kureš, Jan Šútora
The method of direct calculation of the group of -algebra automorphisms of a Weil algebra is presented in detail. The paper is focused on the case of a one-componental g…
Finite dimensional factor algebras of F_2[X_1,...,X_n] and their fixed point subalgebras
Miroslav Kureš
Fixed point subalgebras of finite dimensional factor algebras of algebras of polynomials in n indeterminates over the finite field (with respect to all -…
Looking at osculating bundles through the semiholonomic equalizations
Miroslav Kureš
The paper glosses different forms of an introducing of higher order tangent-like functors, especially functors derived from higher order nonholonomic tangent functors. A special at…
On some directions in the development of jet calculus
Miroslav Kureš
Two significant directions in the development of jet calculus are showed. First, jets are generalized to so-called quasijets. Second, jets of foliated and multifoliate manifold mor…
Fixed point subalgebras of Weil algebras: from geometric to algebraic questions
Miroslav Kureš
The paper is a survey of some results about Weil algebras applicable in differential geometry, especially in some classification questions on bundles of generalized velocities and…