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^^...

nowadays, a great portion of researches research and industrial innovation is about the electric vehicles (ev) and also ev supply equipment (evse) that play an important role in this context. evse requires standardization via effective communication protocols. in this paper, we propose to customize the existing internet standard routing protocol for low power and lossy networks (rpl) to facilit...

We address the problem of studying the toric ideals of phylogenetic invariants for a general group-based model on an arbitrary claw tree. We focus on the group Z2 and choose a natural recursive approach that extends to other groups. The study of the lattice associated with each phylogenetic ideal produces a list of circuits that generate the corresponding lattice basis ideal. In addition, we de...

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...