Although there has been significant scholarly attention on just war (jus ad bellum) in Byzantium and an increasing interest in the study of the Byzantine culture of war, military trickery and jus in bello (just conduct of war) remain largely unexplored by Byzantinists. This paper aims to fill this gap by studying the theory of military trickery and ethics in Byzantium, c. 900 -1204. It explores and analyses this aspect of jus in bello in Byzantium by employing methods and concepts (...) from Byzantine history, war studies and military ethics. The paper begins by examining the impact of dominant literary traditions (Classical and Biblical) on Byzantine perceptions of military trickery, and then explores the reception and development of Classical and Biblical notions of military trickery and ethics by different sub-cultures in Byzantium (e. g., theologians, jurists, tacticians, historians, orators, poets). The author then attempts to frame a more complete theory of Byzantine military trickery and ethics, and to reflect on the relationship between jus ad bellum and jus in bello in Byzantium. (shrink)

We develop an elimination theory for addition and the Frobenius map over rings of polynomials. As a consequence we show that if F is a countable, recursive and perfect field of positive characteristic p, with decidable theory, then the structure of addition, the Frobenius map x→ xp and the property ‘x∈ F', over the ring of polynomials F[T], has a decidable theory.