Ideal

Furthermore, a subset of a Boolean ring is a ring ideal (prime ring ideal, maximal ring ideal) if and only if it is an order ideal (prime order ideal, maximal order ideal) of the Boolean algebra.

It depicts the duties of relationships, portraying ideal characters like the ideal father, the ideal servant, the ideal brother, the ideal wife and the ideal king.

A two-sided ideal is a left ideal that is also a right ideal, and is often called an ideal except to emphasize that there might exist single-sided ideals.

On the human level, experiments attempt the ideal soldier (“Labyrinth”), the ideal worker (Falling Free), the ideal spy (Ethan of Athos), and even the ideal underwater ballet (Diplomatic Immunity).

We don’t live in an ideal world with ideal things, and right now I think about how this pandemic makes it an ever lesser than ideal place vis-a-vis domestic violence.

This isn't really a controversial topic as there is no ideal/optimum thyroid level (meaning one particular number), just as there is no ideal pulse rate - there are ideal levels that span a range of numbers.

For example, the set of all positive and negative multiples of 2 along with 0 form an ideal of the integers, and this ideal is generated by the integer 2. In fact, every ideal of the ring of integers is principal.

If I is a right ideal of R, then I is simple as a right module if and only if I is a minimal non-zero right ideal: If M is a non-zero proper submodule of I, then it is also a right ideal, so I is not minimal.

It is possible for a ring to have a unique maximal ideal and yet lack unique maximal one sided ideals: for example, in the ring of 2 by 2 square matrices over a field, the zero ideal is a maximal ideal, but there are many maximal right ideals.

Moreover, these notions coincide with ring theoretic ones of prime ideal and maximal ideal in the Boolean ring A. The dual of an ideal is a filter.

See citation * Minimal ideal : A nonzero ideal is called minimal if it contains no other nonzero ideal.

The result is also true if "ideal" is replaced with "right ideal" or "left ideal".

The trivial ideals supply the least and greatest elements: the largest ideal is the entire ring, and the smallest ideal is the zero ideal.

Not just ideal for anyone looking to replenish moisture, but this has also been described as being ideal for anyone who suffers from sensitive skin and skin conditions such as rosacea.

This is the ideal demographic and an ideal target audience for crypto.

Fields probably wouldn’t be Getsy’s ideal quarterback, and Getsy’s offense probably wouldn’t be Fields’ ideal system.

The previous metal offers ideal portfolio diversification, and gold funds offer an ideal ingress to exposure.

Timmy exists elsewhere and people's ideal of what his ending can be can remain their ideal.

A proposed cartway access to property Ideal Township would run through a cul-de-sac at the end of Ideal Avenue, which is part of the Idyllwood Common Interest Community.

But the pandemic has realigned the stars for some of its top politicians to the extent that CDU insiders worry the leadership race’s most likely outcome no longer looks ideal, and the ideal outcome for the greater good of the party looks unlikely.