By recent results in [19], the standard localization theory for function and section spaces due to Hilton-Mislin-Roitberg and Möller extend outside the CW category to the case of compact metric domain in the presence of a grouplike structure. We study applications in two cases directly generalizing the gauge group of a principal bundle. We prove an identity for the monoid aut(ξ) of fibre-homoto...

We define an “algebraic” version of the Goodwillie tower, P alg n F (X), that depends only on the behavior of F on coproducts of X . When F is a functor to connected spaces or grouplike H-spaces, the functor P alg n F is the base of a fibration |⊥ F | → F → P alg n F, whose fiber is the simplicial space associated to a cotriple ⊥ built from the (n + 1) cross effect of the functor F . When the c...

Let i : A → R be a ring morphism, and χ : R → A a right R-linear map with χ(χ(r)s) = χ(rs) and χ(1 R) = 1 A. If R is a Frobenius A-ring, then we can define a trace map tr : A → A R. If there exists an element of trace 1 in A, then A is right FBN if and only if A R is right FBN and A is right noetherian. The result can be generalized to the case where R is an I-Frobenius A-ring, and the conditio...

Let i : A → R be a ring morphism, and χ : R → A a right R-linear map with χ(χ(r)s) = χ(rs) and χ(1 R) = 1 A. If R is a Frobenius A-ring, then we can define a trace map tr : A → A R. If there exists an element of trace 1 in A, then A is right FBN if and only if A R is right FBN and A is right noetherian. The result can be generalized to the case where R is an I-Frobenius A-ring. We recover resul...

A significant result in the structure theory of regular languages is the Krohn-Rhodes Theorem, which states that any finite automaton can be decomposed into simple “prime factors”. This theorem can be stated in different versions using different products on different structures, namely the cascade product of automata, the wreath product of transformation semigroups and the block product of semi...

Scholars studying stigmatized, or “dirty work,” occupations have tended to characterize people outside of the occupation as stigmatizers and those within social supports who buffer each other from stigma. We argue that this characterization discounts unique ways stigmatization can take place heterogeneous challenges it raises for finding support occupational members. Based on a six-year qualita...

this paper investigates the effect of exchange rate uncertainty on the iran’s import trade. the exchange rate ‎uncertainty series were generated utilizing the tarch model. this model analyzes the asymmetric effects. the analysis of uncertainty and asymmetry ‎of the exchange rate shows significant tarch ‎effect on iran’s exchange rates‎. the findings of the study indicate negative shocks (bad ne...

For a long period the theory of modules over rings on the one hand and comodules and Hopf modules for coalgebras and bialgebras on the other side developed quite independently. In this talk we want to outline how ideas from module theory can be applied to enrich the theory of comodules and vice versa. For this we consider A-corings C with grouplike elements over a ring A, in particular Galois c...

The concept of a Hopf algebra originated in topology. Classically, Hopf algebras are defined on the basis of unital modules over commutative, unital rings. The intention of the present work is to study Hopf algebra formalism (§1.2) from a universal-algebraic point of view, within the context of entropic varieties. In an entropic variety, the operations of each algebra are homomorphisms, and ten...

The idea of “JSJ-decompositions” for 3-manifolds began with work of Waldhausen and was developed later through work of Jaco, Shalen and Johansen. It was shown that there is a finite collection of 2-sided, incompressible tori that separate a closed irreducible 3-manifold into pieces with strong topological structure. Sela introduced the idea of JSJ-decompositions for groups, an idea that has flo...