- descending chain condition
- Математика: условие минимальности, условие обрыва убывающей цепи, условие обрыва убывающей цепочки, условие обрыва убывающих цепочек
Универсальный англо-русский словарь. Академик.ру. 2011.
descending chain condition
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Ascending chain condition — The ascending chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly, ideals in certain commutative rings.[1][2][3] These conditions played an important role… … Wikipedia
Ascending chain condition on principal ideals — In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two sided ideals of a ring, partially ordered by inclusion. The ascending ascending chain condition on principal… … Wikipedia
Countable chain condition — See also: Forcing (set theory)#The countable chain condition In order theory, a partially ordered set X is said to satisfy the countable chain condition, or to be ccc, if every strong antichain in X is countable. There are really two conditions:… … Wikipedia
Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) … Wikipedia
Noetherian — In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects; in particular, Noetherian group, a group that satisfies the ascending chain condition on… … Wikipedia
Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… … Wikipedia
Noetherian topological space — In mathematics, a Noetherian topological space is a topological space in which closed subsets satisfy the descending chain condition. Equivalently, we could say that the open subsets satisfy the ascending chain condition, since they are the… … Wikipedia
Loop variant — In computer science, a loop variant is a mathematical function defined on the state space of a computer program having the property that each iteration of a loop (given its invariant) strictly decreases its value with respect to a well founded… … Wikipedia
Artinian ring — In abstract algebra, an Artinian ring is a ring that satisfies the descending chain condition on ideals. They are also called Artin rings.There are two classes of rings that have very similar properties:* Rings whose underlying sets are finite. * … Wikipedia
Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
Artinian — In mathematics, Artinian, named for Emil Artin, is an adjective that describes objects that satisfy particular cases of the descending chain condition.*A ring is an Artinian ring if it satisfies the descending chain condition on ideals. *A module … Wikipedia
