ON THE BASIC CHARACTER OF RESIDUE CLASSES P . HILTON, J . HOOPER AND J . PEDERSEN Let t, b be mutually prime positive integers . We say that the residue class t mod b is basic if theie exists n such that ta -1 mod b; otherwise t is not basic. In this paper we relate the basic character of t mod b to the quadratic character of t modulo the prime factors of b. If all prime factors p of b satisfy ...

Let $(\operatorname{mod} \Lambda ’,\operatorname{mod} ,\operatorname{mod} ”)$ be a recollement of abelian categories for artin algebras $\Lambda ’$, $ and ”$. Under certain conditions, we present an explicit construction

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