In this paper, we introduce the notion of -hyperalgebras for an arbitrary
signature and give some examples. Then we extend notions
of several kinds of homomorphisms and study their properties. Also we
study subhyperalgebras of a -hyperalgebra A, Sub(A), under algebraic
closure operators S, H and I. Finally, we introduce notions of closed,
invertible, ultraclosed and conjugable subhyperalgebras and investigate
their connections to each other.
