Sentence examples for ideals such that from inspiring English sources

It is equivalent to the existence of a finite chain J1 ⊂ J2 ⊂ … ⊂ Jideals such that J1, J2/J1, …, A/Jn are all dual C*-algebras.

Assume that I and J are two non-trivial ideals of A. Suppose that ({mathfrak {m}}_1) and ({mathfrak {m}}_2) are maximal ideals such that ({rm Ann}(I subseteq {mathfrak {m}}_1) and ({rm Ann}(J subseteq {mathfrak {m}}_2).

The assumptions we made for the cycle were that both the compressor and turbine are ideal, such that they can be modeled adiabatic and reversible.

Let $I \subset R$ be an ideal such that $\sigma (I) \subset I$ for all $\sigma \in G$.

Additionally, the placement is not ideal such that any removal is crucial.

Also, let I be a non-trivial admissible ideal such that (I={ B subsetmathbb{N}: delta(B =0 }).

Let be a semitopological semigroup and is a nonempty subset of a Banach space and a separately continuous representation of as mappings from into We say that the representation is asymptotically nonexpansive if for each there is a left ideal such that for all.

Luvsandendev Sumati, director of the independent Sant Maral polling organization, says Mongolians still demonstrate strong support for democratic ideals, such as that everyone should be equally treated by the law and have the right to express their opinions freely.

If (q in Q) and (t in M_n) there exists an essential right ideal (E) of (R) such that (qE le R).

Within the analytical strand of political philosophy, there are roughly two different types of answers to the question: "What is the purpose of doing political philosophy?" The first answer is that political philosophy should be truth-seeking, even if that implies, for example, that political ideals such as justice, equality or democracy are unachievable.

You have to understand that emotions and ideals such as happiness or equality are luxuries for the poor.