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which is impossible since the right side is even. The proof that (2, 1− √ −5) 6= (1) is similar. For another proof, complex conjugation is an operation on ideals, a 7→ a := {α : α ∈ a} which respects addition and multiplication of ideals, and (α, β) = (α, β). In particular, the conjugate of (2, 1 + √ −5) is (2, 1− √ −5), so if (2, 1 + √ −5) = (1) then (2, 1− √ −5) = (1), so the product (2, 1 + ...

in this paper rst we de ne the notions of positive implicativehyper mv -ideals of types 1,2,3 and 4 in hyper mv -algebras and we investigatethe relationship between of them . then by some examples we show that thesenotions are not equivalent. finally we give some relations between these notionsand the notions of (weak) hyper mv -ideals and (weak) hyper mv -deductivesystems of hyper mv -algebras.

on ' are open to criticism. A good deal depends Thp -We mean by ' awareness' and knowledge. Poii^ wisest sentence in the review is that which Hess ^ 0V^ that only a fraction of the lack of awareascetiV knowledge can _ be attributed to oriental and early Christian writers, but this is ab]e aiately followed by a feeble joke in very questionconcer -Ste a.b?ut the lack_ of definite instruction fj^^...