In this paper we generalize some results about the chaos-related properties on the product of two semiflows, which appeared in the lite\-rature in the last few years, to the case of the most general possible acting monoids. In order to do that we introduce some new notions, namely the notions of a directional, psp and sip monoid, and the notion of a strongly transitive semiflow. In particular, we obtain a sufficient condition for the Devaney chaoticity of a product, which works for the (very large) class of the psp acting monoids.
Product of semiflows, directional monoid, psp monoid, sip monoid, Devaney chaos
MILLER, ALICA and MONEY, CHAD
"Chaos-related properties on the product of semiflows,"
Turkish Journal of Mathematics: Vol. 41:
5, Article 21.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss5/21