Screening of random fragments of Escherichia coli genomic DNA for their ability to increase the novobiocin resistance of a hypersusceptible (Delta)acrAB mutant resulted in the isolation of a plasmid containing baeR, which codes for the response regulator of the two-component regulatory system BaeSR. When induced for expression, baeR cloned in multicopy plasmid pTrc99A significantly increased th...

The lecithin which is used in cardiolipin antigens for the sero-diagnosis of syphilis is extracted from beef heart tissue or egg yolk by the methods of Pangborn, Maltaner, Tompkins, Beecher, Thompson, and Flynn (1951). The product is actually a mixture of individual lecithins containing chiefly unsaturated but also some saturated fatty acids, the composition varying with the source and method o...

We generalize various properties of Yetter-Drinfeld modules over Hopf algebras to quasi-Hopf algebras. The dual of a finite dimensional Yetter-Drinfeld module is again a Yetter-Drinfeld module. The algebra H 0 in the category of Yetter-Drinfeld modules that can be obtained by modifying the multiplication in a proper way is quantum commutative. We give a Structure Theorem for Hopf modules in the...

We consider a pair (a, A) consisting of a quasi-hereditary algebra A and a (positively) graded subalgebra a. We present conditions which guarantee that the algebra grA obtained by grading A by its radical filtration is quasi-hereditary and Koszul. In such cases, we also show that the standard and costandard modules for A have a structure as graded modules for a. These results are applied to obt...

Within an algebraic analysis approach, the purpose of the paper is to constructively solve the following problem: given two fixed multidimensional linear systems S1 and S2, parametrize the multidimensional linear systems S which contain S1 as a subsystem and satisfy that S/S1 is isomorphic to S2. In order to study this problem, we use Baer’s classical interpretation of the extension functor and...

In this paper, we give connection between the order of the generalized Baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. Moreover, we give a necessary and sufficient condition in which the generalized Baer-invariant of a pair of groups can be embedded into the generalized Baer-invariant of pair of its factor groups.

Self-organization is a phenomenon found in biomolecular self-assembly by which proteins are spontaneously driven to assemble and attain various functionalities. This study reports on self-organized behavior in which distributed centimeter-sized modules stochastically aggregate and exhibit a translational wheeling motion. The system consists of two types of centimeter-sized water-floating module...

Let k be an algebraically closed field, let X be a topological space, let A be a sheaf of associative k-algebras on X, and let F = {F1, . . . ,Fp} be a finite family of sheaves of left A-modules on X. In this paper, we develop a noncommutative deformation theory for the family F . This theory generalizes the noncommutative deformation theory for finite families of left modules over an associati...

It is known that the Fundamental Theorem of Hopf modules can be used to characterize Hopf algebras: a bialgebra H over a field is a Hopf algebra (i.e. it is endowed with a so-called antipode) if and only if every Hopf module M over H can be decomposed in the form M coH ⊗ H , where M coH denotes the space of coinvariant elements in M . A partial extension of this equivalence to the case of quasi...