Radical may refer to:

Politics and ideology

Politics

Radical politics Radical politics denotes the intent to transform or replace the principles of a society or political system, often through social change, structural change, revolution or radical reform. The process of adopting radical views is termed radica ...

, the political intent of fundamental societal change *

Radicalism (historical) Radicalism (from French , "radical") or classical radicalism was a historical political movement representing the leftward flank of liberalism during the late 18th and early 19th centuries and a precursor to social liberalism, social democr ...

, the Radical Movement that began in late 18th century Britain and spread to continental Europe and Latin America in the 19th century *

Radical Party (disambiguation) Radical Party may refer to any of a number of political parties professing the progressive-liberal ideology known as Radicalism: Worldwide * Nonviolent Radical Party Transnational and Transparty (1989–present) Europe In the western Mediterra ...

, several political parties *

Radicals (UK) The Radicals were a loose parliamentary political grouping in Great Britain and Ireland in the early to mid-19th century who drew on earlier ideas of radicalism and helped to transform the Whigs into the Liberal Party. History Early Radi ...

, a British and Irish grouping in the early to mid-19th century * Radicalization

Ideologies

Radical chic Radical chic is the fashionable practice of upper-class people associating with politically radical people and causes. Coined in the 1970 article "Radical Chic: That Party at Lenny's" by journalist Tom Wolfe, the term has become widely used in l ...

, a term coined by Tom Wolfe to describe the pretentious adoption of radical causes *

Radical feminism Radical feminism is a perspective within feminism that calls for a radical re-ordering of society in which male supremacy is eliminated in all social and economic contexts, while recognizing that women's experiences are also affected by other ...

, a perspective within feminism that focuses on patriarchy * Radical Islam, or Islamic extremism *

Radical veganism The Anarchism, anarchist philosophical and political movement has some connections to elements of the animal liberation movement. Many anarchists are vegetarian or vegan (or veganarchists) and have played a role in combating perceived injustices ...

, a radical interpretation of veganism, usually combined with anarchism *

Radical Reformation The Radical Reformation represented a response to corruption both in the Catholic Church and in the expanding Magisterial Protestant movement led by Martin Luther and many others. Beginning in Germany and Switzerland in the 16th century, the Ra ...

, an Anabaptist movement concurrent with the Protestant Reformation

Science and mathematics

Science

Radical (chemistry) In chemistry, a radical, also known as a free radical, is an atom, molecule, or ion that has at least one unpaired valence electron. With some exceptions, these unpaired electrons make radicals highly chemically reactive. Many radicals spon ...

, an atom, molecule, or ion with unpaired valence electron(s) *

Radical surgery Radical surgery, also called radical dissection, is surgery that is more extensive than "conservative" surgery. In surgical oncology, radical surgery is surgery intended to remove both a tumor and any metastases thereof, for diagnostic and/or tr ...

, where diseased tissue or lymph nodes are removed from a diseased organ

Mathematics

Radical expression In mathematics, a radicand, also known as an nth root, of a number ''x'' is a number ''r'' which, when raised to the power ''n'', yields ''x'': :r^n = x, where ''n'' is a positive integer, sometimes called the ''degree'' of the root. A ro ...

involving roots, also known as an ''n''th root * Radical symbol (√), used to indicate the square root and other roots *

Radical of an algebraic group The radical of an algebraic group is the identity component of its maximal normal subgroup, normal solvable group, solvable subgroup. For example, the radical of the general linear group \operatorname_n(K) (for a field ''K'') is the subgroup consist ...

, a concept in algebraic group theory *

Radical of an ideal In ring theory, a branch of mathematics, the radical of an ideal I of a commutative ring is another ideal defined by the property that an element x is in the radical if and only if some power of x is in I. Taking the radical of an ideal is called ' ...

, an important concept in abstract algebra *

Radical of a ring In ring theory, a branch of mathematics, a radical of a ring is an ideal of "not-good" elements of the ring. The first example of a radical was the nilradical introduced by , based on a suggestion of . In the next few years several other radical ...

, an ideal of "bad" elements of a ring **

Jacobson radical In mathematics, more specifically ring theory, the Jacobson radical of a ring R is the ideal consisting of those elements in R that annihilate all simple right R-modules. It happens that substituting "left" in place of "right" in the definition y ...

, consisting of those elements in a ring R that annihilate all simple right R-modules **

Nilradical of a ring In algebra, the nilradical of a commutative ring is the ideal consisting of the nilpotent elements: :\mathfrak_R = \lbrace f \in R \mid f^m=0 \text m\in\mathbb_\rbrace. In the non-commutative ring case the same definition does not always work. Th ...

, a nilpotent ideal which is as large as possible * Radical of a module, a component in the theory of structure and classification * Radical of an integer, in number theory, the product of the primes which divide an integer *

Radical of a Lie algebra In the mathematical field of Lie theory, the radical of a Lie algebra \mathfrak is the largest solvable ideal of \mathfrak.. The radical, denoted by (\mathfrak), fits into the exact sequence :0 \to (\mathfrak) \to \mathfrak g \to \mathfrak/(\math ...

, a concept in Lie theory **

Nilradical of a Lie algebra In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical \mathfrak(\mathfrak g) of a finite-dimensional Lie algebra \mathfrak is its maximal nilpotent ideal, which exists because the sum of a ...

, a nilpotent ideal which is as large as possible *Left (or right) radical of a

bilinear form In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called '' scalars''). In other words, a bilinear form is a function that is linea ...

, the subspace of all vectors left (or right) orthogonal to every vector

Linguistics

Root (linguistics) A root (or root word) is the core of a word that is irreducible into more meaningful elements. In morphology, a root is a morphologically simple unit which can be left bare or to which a prefix or a suffix can attach. The root word is the prim ...

, also called a "radical", the form of a word after any prefixes and suffixes are removed *

Radical (Chinese characters) A Chinese radical () or indexing component is a graphical component of a Chinese character under which the character is traditionally listed in a Chinese dictionary. This component is often a semantic indicator similar to a morpheme, though ...

, part of a Chinese character *

Radical consonant A pharyngeal consonant is a consonant that is articulated primarily in the pharynx. Some phoneticians distinguish upper pharyngeal consonants, or "high" pharyngeals, pronounced by retracting the root of the tongue in the mid to upper pharynx, ...

, a pharyngeal consonant *Radical, one of the three consonants in a

Semitic root The roots of verbs and most nouns in the Semitic languages are characterized as a sequence of consonants or "radicals" (hence the term consonantal root). Such abstract consonantal roots are used in the formation of actual words by adding the vowels ...

Arts and entertainment

Music

* ''Radical'' (mixtape), by Odd Future, 2010 * ''Radical'' (Every Time I Die album), 2021 * ''Radical'' (Smack album), 1988 *"Radicals", a song by Tyler, The Creator from the 2011 album ''

Goblin A goblin is a small, grotesque, monstrous creature that appears in the folklore of multiple European cultures. First attested in stories from the Middle Ages, they are ascribed conflicting abilities, temperaments, and appearances depending on ...

Architecture and design

Radical period (design) In Italian design, the Radical period took place in the late 1960s, with a shift in style among the avant-garde. Probably the most notable result of this avant-garde period is the installation called "Superarchitettura", made in Pistoia in 1966. Ano ...

, a period in late 1960s Italian design * Radical Baroque, an architectural style

Literature

*'' Radical: My Journey out of Islamist Extremism'', by Maajid Nawaz, 2013 * ''Radical'' (book), by David Platt, 2010

Other uses

* Radical, Missouri, U.S., a ghost town *

Radical, North Carolina Radical is an unincorporated area in Wilkes County, North Carolina. History A post office A post office is a public facility and a retailer that provides mail services, such as accepting letters and parcels, providing post office boxes, and ...

, U.S. * Radical Sportscars, a British sports car maker *

Radical Entertainment Radical Entertainment Inc. is a Canadian video game developer based in Vancouver. The studio is best known for developing '' The Simpsons: Hit & Run'', '' Prototype'' and ''Prototype 2'', as well as entries in the ''Crash Bandicoot'' franchise ...

, a Canadian video game developer *

Radical.fm Radical.FM was a digital music streaming service available on iOS devices, Android devices, and desktop web browsers. The service allows users to create their own custom online radio stations based on musical genres. Unlike other streaming service ...

, a digital music streaming service