Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra‎. ‎In this paper‎, ‎we investigate Gorenstein global dimensions for Hopf‎ ‎algebras and twisted smash product algebras $Astar H$‎. ‎Results from‎ ‎the literature are generalized‎. 

The paper presents our considerations related to the creation of a digital corpus of Bulgarian dialects. The dialectological archive of Bulgarian language consists of more than 250 audio tapes. All tapes were recordedbetween 1955 and 1965 in the course of regular dialectological expeditions throughout the country. The recordstypically contain interviews with inhabitants of small village...

I assume that most students have encountered Turing machines before. (Students who have not may want to look at Sipser’s book [3].) A Turing machine is defined by an integer k ≥ 1, a finite set of states Q, an alphabet Γ, and a transition function δ : Q×Γk → Q×Γk−1×{L, S,R}k where: • k is the number of (infinite, one-dimensional) tapes used by the machine. In the general case we have k ≥ 3 and ...

This article (and all articles in the proceedings volume relating to same conference) has been retracted by IOP Publishing following an extensive investigation line with COPE guidelines. uncovered evidence of systematic manipulation publication process and considerable citation manipulation. respectfully requests that readers consider work within this potentially unreliable, as not through a cr...

The asymmetric unit of the title cocrystal, C(14)H(14)N(4)O(2)·C(14)H(10)O(4)S(2), comprises a twisted 2,2'-(disulfanediyl)dibenzoic acid mol-ecule [dihedral angle between the benzene rings = 76.35 (10)°] and a U-shaped N,N'-bis-(3-pyridyl-meth-yl)ethane-diamide mol-ecule with the pyridyl groups lying to the same side of the central diamide moiety [C-C-C-N = 113.8 (2) and -117.6 (2)°]. The latt...