JEAN CARCANAGUE. Ideaux bilateres d'un anneau de polynomes non commutatifs sur un corps 1 M. ANDRE. Hopf Algebras with Divided Powers 19 S. M. GERSTEN. On Mayer-Vietoris Functors and Algebraic i£-Theory 51 A. R. MAGID. Galois Groupoids 89 KEVIN MCCRIMMON. A Characterization of the Radical of a Jordan Algebra 103 MITSUHIRO TAKEUCHI. A Simple Proof of Gabriel and Popesco's Theorem 112 MICHAEL ASCHBACHER. Doubly Transitive Groups in Which the Stabilizer of Two Points is Abelian 114 ANDREAS DRESS. The Ring of Monomial Representations I. Structure Theory 137 NUMBER 2, JUNE 1971 M. J. KALLAHER AND T. G. OSTROM. Fixed Point Free Linear Groups, Rank Three Planes, and Bol Quasifields M. SLATER. Alternative Rings with D.C.C., III STANLEY E. PAYNE. Nonisomorphic Generalized Quadrangles. .. 201 NICOLAE POPESCU. Le spectre ä gauche d'un anneau 213 B. A. F. WEHRFRITZ. Remarks on Centrality and Cyclicity in Linear Groups C. B. THOMAS. Frobenius Reciprocity of Hermitian Forms .... 237 ZVONIMIR JANKO. The Nonexistence of a Certain Type of Finite Simple Group J. T. ARNOLD AND J. W. BREWER. On Fiat Overrings, Ideal Transforms and Generalized Transforms of a Commutative Ring. .
Abstract. 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 with two elements. For systems that can be described by monomials (including Boolean AND systems), one can obtain information about the limit cycle structure from the structure of the monomials. In particular, the paper contains a sufficient condition for a monomial system to have only fixed points as limit cycles. This condition depends on the cycle structure of the dependency graph of the system and can be verified in polynomial time.
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