1 UPDATE SCHEDULES OF SEQUENTIAL DYNAMICAL SYSTEMS (2008)
Reinhard Laubenbacher, Bodo Pareigis
Abstract. Sequential dynamical systems have the property, that the updates of states of individual cells occur sequentially, so that the global update of the system depends on the order of the...
Boolean Monomial Dynamical Systems (2004)
Colon-Reyes, Omar, Laubenbacher, Reinhard, Pareigis, Bodo
An important problem in the theory of finite dynamical systems is to link the structure of a system with its dynamics. This paper contains such a link for a family of nonlinear systems over the field...
On Lie Algebras in the Category of Yetter-Drinfeld Modules (1996)
The category of Yetter-Drinfeld modules over a Hopf algebra (with bijektive antipode over a field) is a braided monoidal category. Given a Hopf algebra in this category then the primitive elements of...
On Lie Algebras in Braided Categories (1996)
The set of primitive elements of a Hopf algebra in the braided category of group graded vector spaces (with a commutative group) carry the structure of a generalized Lie algebra. In particular the...
Reconstruction of Hidden Symmetries (1994)
Representations of a group $G$ in vector spaces over a field $K$ form a category. One can reconstruct the given group $G$ from its representations to vector spaces as the full group of monoidal...
In this paper we introduce left linear theories of exponent N (a set) on the set L as maps L LN 3 (l; ) ! l 2 L such that for all l 2 L and ; 2 LN the relation (l ) = l( ) holds, where 2 LN is...
Forms of Hopf Algebras and Galois Theory (1990)
The theory of Hopf algebras is closely connected with various applications, in particular to algebraic and formal groups. Although the rst occurence of Hopf algebras was in algebraic topology, they...
On Generators and Congenerators (1970)
The question of the existence of generators and cogenerators i n a category is of i n t e r e s t i n view of the special adjoint functor theorem. ISBELL has given an example (unpublished) which...
Kohomologie von p-Lie-Algebren (1968)
Eine Kohomologietheorie einer Klasse von ,,Algebren6' sollte gewisse Erweiterungen und sog. Kerne mit der zweiten bzw. dritten Kohomologiegruppe beschreiben. Ein Beispiel dafür ist etwa die...
Vergessende Funktoren und Ringhomomorphismen (1966)
Ein „vergessender" Funktor (engl. „forgetful") folgender Art wird betrachtet. Seien R, S unitäre, assoziative Ringe und sei .f: S-t R ein unitärer Ringhomomorphismus. Jedem unitären...
Kohomologie von p-lie-algebren / (1966)
Thesis (doctoral)--Ludwig-Maximilians Universität München, 1966.
Addendum to "Amitsur's complex for purely inseparable fields" (1964)
We begin this note by pointing out that a few modifications in some of the notations and arguments of C131 will make these fit in more closely with results in the literature. We also complete the...
(Über normale, zentrale, separable Algebren und Amitsur-Kohomologie). (1963)
Heidelberg, Naturwiss.-math. F., Diss. v. 31. Juli 1963 (Nicht f. d. Aust.).