Let G be a Garside group endowed with the generating set $${\cal S}$$ of non-trivial simple elements, and let H parabolic subgroup G. We determine transversal T in such that each θ ∈ is minimal length its right-coset, Hθ, for word respect to . show there exists regular language L on S} \cup {{\cal S}^{- 1}}$$ bijection ev: → satisfying $$\lg \left(U \right) = {\lg _{\cal S}}\left({ev\left(U \ri...

Let $Q$ be an inverse semigroup. A subsemigroup $S$ of $Q$ is a left I-order in $Q$ and $Q$ is a semigroup of left I-quotients of $S$ if every element $qin Q$ can be written as $q=a^{-1}b$ for some $a,bin S$. If we insist on $a$ and $b$ being $er$-related in $Q$, then we say that $S$ is straight in $Q$. We characterize semigroups which are left I-quotients of left regular bands of right cancell...

Congenital diaphragmatic hernia (CDH) is a rare congenital anomaly of the diaphragm with an incidence of 1:2000-5000 of live births. This study retrospectively evaluated patients who had been operated on for CDH at our department of Pediatric Surgery between January 2013 and December 2016. The Demographic Data and outcomes of right CDH cases (Group 1) were compared with left CDH cases (Group 2).

Objective This retrospective study compared the three-dimensional (3D) structure of mandibular condyles between adults with and without facial asymmetry, and whether it influences menton deviation. Methods Sixty adult patients were classified into symmetry and asymmetry groups based on the menton deviation on postero-anterior radiographs. The right/left differences of 3D measurements were com...