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^^...

From algebraic geometry perspective database relations are succinctly defined as Finite Varieties. After establishing basic framework, we give analytic proof of Heath’s theorem from Database Dependency theory. Next, we leverage Algebra-Geometry dictionary and focus on algebraic counterparts of finite varieties – [polynomial] Ideals. It is well known that intersection and sum of ideals are latti...

An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right Baer-ideal, and R is right principaly quasi-Baer if every principal right ideal of R is a right Baer-ideal. Therefore the concept of Baer idea...