We present a general algorithm, pre-determinization, that makes an arbitrary weighted transducer over the tropical semiring or an arbitrary unambiguous weighted transducer over a cancellative commutative semiring determinizable by inserting in it transitions labeled with special symbols. After determinization, the special symbols can be removed or replaced with -transitions. The resulting trans...

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)”.

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...