The authors show that certain theta function identities of Schröter and Ramanujan imply elegant partition identities.

this study investigated the impact of using the technique of self-monitoring on non-academic efl learners’ composition writing. fifty female students studying english at navid english institute in shiraz, iran were chosen based on the results of a proficiency test. they were all 16-20 years old and were intermediate learners of english who were divided into two control and experimental groups a...

let r and s be reduced rings with identities whose idempotents are central, and let m be an(r, s)-bimodule such that annr (m)=0. in this paper, we determine first the structure of automorphisms ofthe triangular ring, =sr mt0, and then, for all automorphisms α ,β of t we determine the structureof (α,β)-derivations of t.

This paper examines professional associations’ local responses to global demands of accounting standardisation. Our longitudinal study from 1998 2018 analyses how associations the German audit profession engaged in an intense framing contest over adoption external quality controls. Drawing on concept strategic action field and literature framing, we unpack gap between large firms small increasi...

Theorem 1.1. Let R be a commutative ring and n be a positive integer. For any A ∈ Mn(R), write its characteristic polynomial as det(TIn −A) = T + c1(A)T + · · ·+ cn−1(A)T + cn(A) ∈ R[T ]. Then ck(A) = (−1)k Tr(∧k(A)). Note the indexing: the coefficient of Tn−k is associated to the kth exterior power of A. In the special cases k = 1 and k = n this recovers the more familiar result that c1(A) = −...

We study formulas for Fibonacci numbers as sums over compositions. The Fibonacci number Fn+1 is the number of compositions of n with parts 1 and 2. Compositions with parts 1 and 2 form a free monoid under concatenation, and our formulas arise from free submonoids of this free monoid.

In the following I tI)' to show that there is an attractive notion of citizenship which is independent of any kind of collective identity. Citizenship is understood as one fonn of social interaction. It is argued that in order to understand social interaction adequate1y, it is necessary to introduce a structuraJ. theory ofpractical rationality, to the extent this conception of citizenship is ba...