We prove that all infinite Boolean rings (algebras) have the property P 6= NP according to the digital (binary) nondeterminism. A.M.S. Classification: 06E99, 03B70.

Boolean functions used in cryptographic applications have to satisfy various cryptographic criteria. Although the choice of the criteria depends on the cryptosystem in which they are used, there are some properties (balancedness, nonlinearity, high algebraic degree, correlation immunity, propagation criteria) which a cryptographically strong Boolean function ought to have. We study the above me...

A class of ring-like structures events (RLSEs) is studied that generalizes Boolean rings. Quantum logics represented by orthomodular lattices are characterized within this and the correspondence between algebras rings enlarged to lattices. The structure RLSEs various subclasses analyzed classical especially identified. Moreover, sets numerical different contexts physical problems described. eve...

Given a topological group G let C(G) denote the Banach space of bounded, continous real valued function on G. Eberlein [1] defined a function f ∈ C(G) to be weakly almost periodic if the weak closure of all of its translates is compact in the weak topology on C(G) — in other words, if fx(y) is defined to be f(yx−1) then the weak closure of {fx | x ∈ G} is weakly compact. The set of weakly almos...