In algebra, a purely inseparable extension of fields is an extension k ⊆ K of fields of characteristic p > 0 such that every element of K is a root of...

purely inseparable extension, also occurs naturally, as every algebraic extension may be decomposed uniquely as a purely inseparable extension of a separable...

Artin–Schreier extension or a purely inseparable extension. There is an analogue of Artin–Schreier theory which describes cyclic extensions in characteristic...

notion of a purely inseparable extension of fields (sometimes called a radicial extension, which should not be confused with a radical extension). It suffices...

a separable, followed by a purely inseparable field extension. For a purely inseparable extension F / K, there is a Galois theory where the Galois group...

for subfields of a Galois extension, and Jacobson's Galois correspondence for subfields of a purely inseparable extension of exponent at most 1. Suppose...

prime ideals in Galois extensions. The same idea in the proof shows that if L / K {\displaystyle L/K} is a purely inseparable extension (need not be normal)...

to be geometrically unibranch if the residue field of B is a purely inseparable extension of the residue field of Ared. A complex variety X is called topologically...

algebra, a primary extension L of K is a field extension such that the algebraic closure of K in L is purely inseparable over K. An extension L/K is primary...

is the field extension K(T1/p), in other words the splitting field of P, then L/K is an example of a purely inseparable field extension. It is of degree...

find a local uniformization of any valuation after taking a purely inseparable extension of the function field. Local uniformization in positive characteristic...

is in the field for some r. 2.  A field extension is purely inseparable if it consists of purely inseparable elements. quasi 1.  A quasi-excellent ring...

Galois extension A normal, separable field extension. Primary extension An extension E/F such that the algebraic closure of F in E is purely inseparable over...

died on February 21, 2024, at the age of 96. Nilpotent orbit Purely inseparable extension Wigtil, C.J.; White, W.L. (2017). "Children Above 180 IQ Stanford-Binet:...

similar construction works using a primitive nontrivial purely inseparable finite extension of any imperfect field in any positive characteristic, the...

separable). If L is the field extension K(T 1/p) (the splitting field of P) then L/K is an example of a purely inseparable field extension. In L ⊗ K L {\displaystyle...

Frobenius map is purely inseparable. An elliptic curve is supersingular if and only if the "multiplication by p" map is purely inseparable and the j-invariant...

are dependently originated, "necessarily co-existent and positionally inseparable (padesato avinibhoga)". Unlike in the Sanskrit-based Buddhist tradition...

\mathbf {F} _{p^{2}}} -schemes. The absolute Frobenius morphism is a purely inseparable morphism of degree p. Its differential is zero. It preserves products...

Conatus. Cf. Power. Desire. Cf. Consciousness, Power [...] all power is inseparable from a capacity for being affected Spinoza, Benedict (1994). Curley,...

dead or alive long before the box is opened but the cat and box form a inseparable combination. Bohr saw no role for a human observer.: 35  Bohr emphasized...

Lady Margaret and Elizabeth corresponded weekly when apart and were inseparable when together. She spent time with Lady Margaret in London and met many...

symbol attached to a unit symbol (e.g. 'km', 'cm') constitutes a new inseparable unit symbol. This new symbol can be raised to a positive or negative...

arbitrary.": 9  The idea that both the signifier and the signified are inseparable is explained by Saussure's diagram, which shows how both components coincide...

practice it exposes; that literary and non-literary "texts" circulate inseparably; that no discourse, imaginative or archival, gives access to unchanging...

Ars Poetica 358 indivisibiliter ac inseparabiliter indivisible and inseparable Motto of Austria-Hungary before it was divided and separated into independent...

concept of the public sphere has heuristic value, it is because it is inseparable from two other key dimensions of the institutional construction of modern...

some cases inseparable), and a few have u- (always inseparable). When a masculine noun has the vocalic prefix i- (separable or inseparable), the masculine...

Arab nationalist movements had done. He deemed Arabism and Islam to be inseparable, referring to them as "one and indivisible", and called on the Arab world's...

that what the composer called his "mountains of padding" were simply inseparable from his initial conceptions—from his process of starting with an extra-musical...