There exist a number of results proving that for certain classes of interacting particle systems in population genetics, mutual invadability of types implies coexistence. In this paper we prove a sort of converse statement for a class of one-dimensional cancellative systems that are used to model balancing selection. We say that a model exhibits strong interface tightness if started from a conf...

We prove the so-called Addition Theorem for algebraic entropy of actions cancellative right amenable monoids S on discrete abelian groups A by endomorphisms, under hypothesis that is locally monotileable (that is, admits a Følner sequence (Fn)n?N such Fn monotile Fn+1 every n?N). study in details class groups, also relation with already existing notions monotileability introduced B. Weiss and d...

Let $A$ be an additively cancellative semialgebra over semifield $K$ as defined in [9]. For a given partial action $\alpha$ of group $G$ on algebra, the associativity skew ring together with existence and uniqueness enveloping (global) were studied by M. Dokuchaev R. Exel [2] which extended for semialgebras some restriction Sharma et. al. using differences. In similar way, we extend results [2,...

In this paper, we shall give examples to answer that an open problem posed by De Baets et al. in “Triangular norms on product lattices (Fuzzy Sets and Systems 104(1999), 61-75)”.

Let S be a cancellative monoid with quotient group of torsion-free rank a. We show that the monoid ring R[S] is a Hilbert ring if and only if the polynomial ring R[{ X, },s/] is a Hilbert ring, where |/| = a. Assume that R is a commutative unitary ring and G is an abelian group. The first research problem listed in [K, Chapter 7] is that of determining equivalent conditions in order that the gr...

We represent a bilinear Calder\'on-Zygmund operator at given smoothness level as finite sum of cancellative, complexity zero operators, involving smooth wavelet forms, and continuous paraproduct forms. This representation results in sparse $T(1)$-type bound, which turn yields directly new sharp weighted estimates on Lebesgue Sobolev spaces. Moreover, we apply the theorem to study fractional dif...

In this paper we generalize Robinson's version of an order cancellation law in which some unbounded subsets a vector space are cancellative elements. We introduce the notion weakly narrow sets normed spaces, study their properties and prove where canceled set is narrow. Also, for closed convex topological has bounded Hausdorff-like distance from its recession cone. topologically embed semigroup...

Given a binary relation IE ∪ IR on the set of ground terms over some signature, we define an abstract rewrite closure for IE ∪ IR. An abstract rewrite closure can be interpreted as a specialized ground tree transducer (pair of bottom-up tree automata) and can be used to efficiently decide the reachability relation →IE∪IE−∪IR. It is constructed using a completion like procedure. Correctness is e...