Abstract. A chain of c submodules E =: E0 ≥ E1 ≥ · · · ≥ Ec ≥ Ec+1 := 0 gives rise to c composable 1-cocycles in Ext1(Ei−1/Ei, Ei/Ei+1), i = 1, . . . , c. In this paper we follow the converse question: When are c composable 1-cocycles induced by a module E together with a chain of submodules as above? We call such modules c-extension modules. The case c = 1 is the classical correspondence betwe...

A. Brumer has shown that every profinite group of strict cohomological p-dimension 2 possesses a class field theory the tautological class field theory. In particular, this result also applies to the universal p-Frattini extension G̃p of a finite group G. We use this fact in order to establish a class field theory for every p-Frattini extension π : G̃ → G (Thm.A). The role of the class field modu...

BACKGROUND Half-life extension strategies have gained increasing interest to improve the pharmacokinetic and pharmacodynamic properties of protein therapeutics. Recently, we established an immunoglobulin-binding domain (IgBD) from streptococcal protein G (SpGC3) as module for half-life extension. SpGC3 is capable of binding to the Fc region as well as the CH1 domain of Fab arms under neutral an...

in this paper, we nd the relationships between module contractibility of abanach algebra and its ideals. we also prove that module contractibility ofa banach algebra is equivalent to module contractibility of its module uniti-zation. finally, we show that when a maximal group homomorphic image ofan inverse semigroup s with the set of idempotents e is nite, the moduleprojective tensor product ...

The blob algebra is a finite-dimensional quotient of the Hecke type B which almost always quasi-hereditary. We construct indecomposable tilting modules for over field characteristic 0 in doubly critical case. Every module maximal highest weight either projective or an extension simple by module. Moreover, every submodule weight. conclude that graded Weyl filtration multiplicities this case are ...

We show that bigrassmannian permutations determine the socle of cokernel an inclusion Verma modules in type $A$. All such socular constituents turn out to be indexed by Weyl group elements from penultimate two-sided cell. Combinatorially, a module $w\in S_n$ into dominant are shown determined essential set $w$ and their degrees graded picture computable terms associated rank function. As applic...

let r be a ring, m a right r-module and (s,≤) a strictly ordered monoid. in this paper we will show that if (s,≤) is a strictly ordered monoid satisfying the condition that 0 ≤ s for all s ∈ s, then the module [[ms,≤]] of generalized power series is a uniserial right [[rs,≤]] ]]-module if and only if m is a simple right r-module and s is a chain monoid.

FourPhonon is a computational package that can calculate four-phonon scattering rates in crystals. It built within ShengBTE framework, which well-recognized lattice thermal conductivity solver based on Boltzmann transport equation. An adaptive energy broadening scheme implemented for the calculation of rates. In analogy with $thirdorder.py$ ShengBTE, we also provide separate python script, $Fou...