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Noetherian Relation
In mathematics, the adjective Noetherian is used to describe objects that satisfy an ascending or descending chain condition on certain kinds of subobjects, meaning that certain ascending or descending sequences of subobjects must have finite length. Noetherian objects are named after Emmy Noether, who was the first to study the ascending and descending chain conditions for rings. Specifically: * Noetherian group, a group that satisfies the ascending chain condition on subgroups. * Noetherian ring, a ring that satisfies the ascending chain condition on ideals. * Noetherian module, a module that satisfies the ascending chain condition on submodules. * More generally, an object in a category is said to be Noetherian if there is no infinitely increasing filtration of it by subobjects. A category is Noetherian if every object in it is Noetherian. * Noetherian relation, a binary relation that satisfies the ascending chain condition on its elements. * Noetherian topological space, a topolo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adjective
In linguistics, an adjective (list of glossing abbreviations, abbreviated ) is a word that generally grammatical modifier, modifies a noun or noun phrase or describes its referent. Its semantic role is to change information given by the noun. Traditionally, adjectives were considered one of the main part of speech, parts of speech of the English language, although historically they were classed together with Noun, nouns. Nowadays, certain words that usually had been classified as adjectives, including ''the'', ''this'', ''my'', etc., typically are classed separately, as Determiner (class), determiners. Here are some examples: * That's a funny idea. (attributive) * That idea is funny. (predicate (grammar), predicative) * * The good, the bad, and the funny. (substantive adjective, substantive) Etymology ''Adjective'' comes from Latin ', a calque of grc, ἐπίθετον ὄνομα, epítheton ónoma, additional noun (whence also English ''epithet''). In the grammatical traditi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |