… of path, we explore the basic results of path locality semigroups. We finally show that the …
We show that the path locality semigroup is the free refined locality semigroup on a locality set …

… path Brandt locality semigroup of the locality set \(X\). We will show that the path Brandt
locality semigroup from a locality … path Brandt locality semigroup is isomorphic to a path Brandt …

… , with consequent easy modification to Theorem 3.3 and conditions (i)-(iii) of the … semigroups
(w (Replace words by paths and letters by edges. The symbol '1' will denote the empty path …

… a semigroup Q and gives some quite general conditions for a left order S in Q to be straight.
In the light of the connection between locality … This path is well trodden: for a sample we refer …

… characterization of path semigroups, which showed that path semigroups are … of locality
semigroups with a rigid condition. Forsberg studied the effective dimensions of path semigroups …

… the path, then we have a totally disconnected path, and the path … Examples of these three
kinds of paths are shown in Fig. 2. … the number of paths that satisfy the condition of the modified …

… We study the semigroup\[S_ {\mathtt {V}}=\{g\in G\cap\operatorname {U}(\mathcal {H})\colon
g\mathtt {V}\subseteq\mathtt {V}\}\] and determine its Lie wedge $\operatorname {\textbf {L}}(…

… t>oon D is described by a degenerate elliptic differential operator A of second order and a
Ventcel’s boundary condition L if the paths of its corresponding strong Markov process 96 are …

… a semigroup of Markov operators, it is a highly non-trivial task to rigorously show that one can
construct an associated Markov process with continuous paths… conditions to check the path …

… (ab) k with k≥ 0 which are labels of paths starting and ending at state 1. This is the submonoid
… In view of Theorem 3.1 and its proof, this condition is equivalent to the profinite semigroup …