The paper presents the results of a functional study Late Roman unguentaria from Hierapolis Phrygia, which includes chemical characterisation organic residues found in 30 stamped vessels by means GC-MS technique. Evidence recent archaeological and archaeometric analyses suggests that LRUs were manufactured western Anatolia.
 study, centred on identification biomarkers, aims to understand f...

We show that for every homomorphism Γ → S where S is a finite semigroup there exists a factorization forest of height ≤ 3 |S|. The proof is based on Green’s relations.

Epigroups are semigroups equipped with an additional unary operation called pseudoinversion. Each finite semigroup can be considered as an epigroup. We prove the following theorem announced by Zhil’tsov in 2000: the equational theory of the class of all epigroups coincides with the equational theory of the class of all finite epigroups and is decidable. We show that the theory is not finitely b...

For a variety of finite groups $\mathbf H$, let $\overline{\mathbf H}$ denote the variety of finite semigroups all of whose subgroups lie in $\mathbf H$. We give a characterization of the subsets of a finite semigroup that are pointlike with respect to $\overline{\mathbf H}$. Our characterization is effective whenever $\mathbf H$ has a decidable membership problem. In particular, the separation...

The implicit signature κ consists of the multiplication and the (ω − 1)-power. We describe a procedure to transform each κ-term over a finite alphabet A into a certain canonical form and show that different canonical forms have different interpretations over some finite semigroup. The procedure of construction of the canonical forms, which is inspired in McCammond’s normal form algorithm for ω-...

The join of two varieties is the smallest variety containing both. In finite semigroup theory, the varieties of R-trivial and L-trivial monoids are two of the most prominent classes of finite monoids. Their join is known to be decidable due to a result of Almeida and Azevedo. In this paper, we give a new proof for Almeida and Azevedo’s effective characterization of the join of R-trivial and L-t...

Der Carl-Friedrich-Gauß-Fakultät für Mathematik und Informatik der Technischen Universität Carolo-Wilhelmina zu Braunschweig zur Erlangung des Grades eines Doktors der Ingenieurwissenschaften (Dr.-Ing.) eingereichte D i s s e r t a t i o n von. Dipl.-Ing. Albert Krohn Referent: Prof. Dr. M. Beigl, Institut für Betriebssysteme und Rechnerverbund, TU Braunschweig, Korreferent: Prof. Dr. W. Juling...

The result, due to Henckell, Margolis, Pin and Rhodes modulo Ash’s solution to the pointlike conjecture, that every finite block group divides a power group, has long been considered to be one of the deepest results in finite semigroup theory. However, the proof is not constructive. Solving a long-standing problem, we provide in this paper an explicit construction of such a division. We also ge...