Noetherian induction is a principle used in the context of Noetherian modules and rings in abstract algebra. It states that if a property holds for all elements of a Noetherian module or ring, and if it holds for a given element implies it holds for any element that can be obtained from it by a finite number of steps (such as a generating process), then the property holds for all elements in the module or ring. Essentially, it provides a way to prove statements about all elements by showing they hold for a well-defined subset through finite steps. This principle is foundational in proving various results in algebra and topology, particularly in the structure theory of rings and modules.
At tonight's initiation ceremony, the Honor Society will induct four new members. source: vocab book
The Royal Academy will induct the new recruits today. The army was looking for skilled fighters to induct into their group. Induct: Enroll
Verb. The noun is induction.
Induct, deduct, product.
The term induct is a verb that means to introduce or admit. To induct someone into a private organization means they were admitted. Another use is to install such as the military. During the draft, new draftees were referred to as inductees.
To instate is to place someone somewhere or to induct.
It has to be JR Jim Ross
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One hour
Rob Zombie
Decreases.
Paul Simon