A class of [r]-semigroups, extending the class of smooth distribution semigroups of Balabane and Emami-Rad, is introduced. Relations with integrated semigroups of Arendt are given as well as a generalization of deLaubenfels and Jazar’s result on relations between smooth semispectral distributions and integrated semigroups. AMS Mathematics Subject Classification (2000): 47D60,

This article concerns Ehresmann structures in the partition monoid P X . Since contains symmetric and dual inverse monoids on same base set , it naturally semilattices of idempotents both submonoids. We show that one these leads to an structure while other does not. explore some consequences this (structural/combinatorial representation theoretic), particular characterise largest left-, right- ...

We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine explicitly the sizes of these classes when the semigroups are defined on finite sets. As a byproduct of these enumerations, we obtain several new integer seq...

The main aim of this paper is to study fuzzy congruences of typeB semigroups. After obtaining some properties and characterizations of fuzzy good congruences on adequate semigroups, we consider fuzzy good congruences on type-B semigroups. Finally, we prove a theorem giving equivalent conditions on fuzzy cancellative congruences of such semigroups. Mathematics Subject Classification: 06F05; 20M10

let $s$ be an ordered semigroup. a fuzzy subset of $s$ is anarbitrary mapping   from $s$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. in this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $s$ is introduced.regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.finally, two m...

The classification of finite semigroups is difficult even for small orders because of their large number. Most finite semigroups are nilpotent of nilpotency rank 3. Formulae for their number up to isomorphism, and up to isomorphism and anti-isomorphism of any order are the main results in the theoretical part of this thesis. Further studies concern the classification of nilpotent semigroups by ...

54 M.Mijatović, S.Pilipović 0. Introduction One-time integrated and n-times integrated exponentially bounded semigroups (n-t.i.e.b.s., in short), n ∈ N, of operators on a Banach space introduced by Arendt, were developed in [1-2], [13-16], [19], [22], [29-30] and applied to abstract Cauchy problems with operators which do not generate C0-semigroups. More generally, α-times integrated semigroups...

Abstract Conservation laws with an x -dependent flux and Hamilton–Jacobi equations Hamiltonian are considered within the same set of assumptions. Uniqueness stability estimates obtained only requiring sufficient smoothness flux/Hamiltonian. Existence is proved without any convexity assumptions under a mild coercivity hypothesis. The correspondence between semigroups generated by these fully det...

The genus of a numerical semigroup is the size of its complement. In this paper we will prove some results about counting numerical semigroups by genus. In 2008, Bras-Amorós conjectured that the ratio between the number of semigroups of genus g + 1 and the number of semigroups of genus g approaches φ, the golden ratio, as g gets large. Though several recent papers have provided bounds for count...

In this dissertation we classify the metabelian groups arising from a restricted class of invertible synchronous automata over a binary alphabet. We give faithful, self-similar actions of Heisenberg groups and upper triangular matrix groups. We introduce a new class of semigroups given by a restricted class of asynchronous automata. We call these semigroups " expanding automaton semigroups ". W...