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...

This article examines popular beliefs about language in Britain and the United States within a language ideology framework. With particular reference to Silverstein's discussion of second-order indexicality, it argues that language varieties in Britain and the United States are differently ideologized in such a way as to foreground social class groups in Britain and ethnic groups in the United ...

In previous joint work with Eli Aljadeff we attached a generic Hopf Galois extension A H to each twisted algebra H obtained from a Hopf algebra H by twisting its product with the help of a cocycle α. The algebra A H is a flat deformation of H over a “big” central subalgebra B H and can be viewed as the noncommutative analogue of a versal torsor in the sense of Serre. After surveying the results...

The study analyzes the apology delivered by the then-democratic Presidential contender in 2007, Senator Barack H. Obama, to the Indian-American community. This apology succeeded in convincing American citizens of Obama’s goodwill and clean political standards, which eventually led him to surpass his chief opponent, Senator Hillary R. Clinton and become the President of the United States. The st...