Ž . A group G is LERF locally extended residually finite if for any finitely generated subgroup S of G and for any g f S there exists a finite index subgroup S of G which contains S but not g. Using graph-theoretical methods we give 0 algorithms for constructing finite index subgroups in amalgamated free products of groups with good separability properties. We prove that a free product of a fre...

abstract a 2.5 year old girl is presented with both hands constriction bands leading to distal amputations and the rare deformity of shoulder duplication in the right side accompanying constriction skin marking over the affected shoulder. the cephalomedial scapula articulated with the clavicle and the caudolateral scapula articulated with humeral head. the most important physical finding which ...

To this end let X and Y be 3–manifolds with incompressible boundary homeomorphic to a connected surface F . It is not difficult to show that if HX and HY are Heegaard surfaces in X and Y then we can amalgamate these splittings to obtain a Heegaard surface in X∪F Y with genus equal to g(HX)+g(HY )−g(F) (see, for example, Schultens [14]). Letting g(X), g(Y), and g(X∪F Y) denote the minimal genus ...

In this paper, we study the transfer of notion $m$-clean ring (i.e., a in which every element is sum unit and an $m$-potent element) to amalgamated bi-amalgamated rings. We also find many sufficient necessary conditions for m-clean property Received: March 7, 2023Accepted: May 31, 2023

Hardware lock-elision (HLE) introduces concurrency into legacy lockbased code by optimistically executing critical sections in a fast-path as hardware transactions. Its main limitation is that in case of repeated aborts, it reverts to a fallback-path that acquires a serial lock. This fallback-path lacks hardwaresoftware concurrency, because all fast-path hardware transactions abort and wait for...

Duplication anomalies are quite common with ureteral duplication anomalies being the most frequent. Despite the relatively frequent incidence of a horseshoe kidney and duplication anomalies in any individual patient, the combination of horseshoe kidney and bilateral ureteric duplication is a very rare entity and very few cases have been reported to date. We present a case of a patient with nove...

duplications of gastrointestinal tract are congenital anomalies found in about 0.2% of all children. these include the rare gastric duplication. we present such a cyst in a 14 years old girl with gastric outlet obstruction. she was found to have a noncommunicating antral duplication cyst .the cyst was managed by cystectomy and marsupialization. microscopically the duplication cyst contained a m...