Ribosome-inactivating proteins (RIPs) inactivate prokaryotic or eukaryotic ribosomes by removing a single adenine in the large ribosomal RNA. Here we show maize RIP (MOD), an atypical RIP with an internal inactivation loop, interacts with the ribosomal stalk protein P2 via Lys158-Lys161, which is located in the N-terminal domain and at the base of its internal loop. Due to subtle differences in...

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

Proof. Any element of odd order in a symmetric group is an even permutation, so the 3-Sylow and 5-Sylow subgroups of S5 lie in A5. Therefore it suffices to focus on A5. Since |A5| = 60 = 22 · 3 · 5, the 3-Sylow subgroups have size 3 and the 5-Sylows have size 5. Call the numbers n3 and n5. By Sylow III, n3 | 20 and n3 ≡ 1 mod 3, so n3 = 1, 4, or 10. The number of 3-cycles (abc) in A5 is 20, and...