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Что (кто) такое purely essential extension - определение
Purely inseparable field extension; Purely inseparable; Radicial extension; Purely inseparable extensions; Modular extension
Purely inseparable extension
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 an equation of the form xq = a, with q a power of p and a in k. Purely inseparable extensions are sometimes called radicial extensions, which should not be confused with the similar-sounding but more general notion of radical extensions.
Field extension
PAIR OF A MATHEMATICAL FIELD AND ITS SUBFIELD
Subfield (mathematics); Quadratic extension; Purely transcendental; Extension field; Quadratic field extension; Degree (field theory); Subextension (field theory); Trivial extension; Intermediate field; Adjunction (field theory); Extension of a field; Finitely generated field extension; Purely transcendental extension; Field Extension; Finitely generated extension; Subextension; Cubic field extension; Cubic extension; Transcendental field extension; Adjoining (field theory)
In mathematics, particularly in algebra, a field extension is a pair of fields E\subseteq F, such that the operations of E are those of F restricted to E. In this case, F is an extension field of E and E is a subfield of F.
Essential gene
![Conservation of essential genes in [[bacteria]], adapted from <ref name="Fang2005"/>](https://commons.wikimedia.org/wiki/Special:FilePath/Conservation of essential genes.png?width=200 "Conservation of essential genes in [[bacteria]], adapted from <ref name=\"Fang2005\"/>")
![lysine biosynthesis]] of different [[bacteria]]. The same protein may be essential in one species but not another.](https://commons.wikimedia.org/wiki/Special:FilePath/Essential metabolic genes in bacteria.png?width=200 "lysine biosynthesis]] of different [[bacteria]]. The same protein may be essential in one species but not another.")
![heme biosynthetic genes]] ''hemA, hemB, hemC, hemD'' are devoid of insertions. The number of sequence reads (‘‘reads/TA’’) is shown for the indicated region of the H37Rv chromosome. Potential TA dinucleotide insertions sites are indicated. Image from Griffin et al. 2011.<ref name="Griffin2011"/>](https://commons.wikimedia.org/wiki/Special:FilePath/Transposon insertions and next generation sequencing map essential genes in Mycobacterium tuberculosis.png?width=200 "heme biosynthetic genes]] ''hemA, hemB, hemC, hemD'' are devoid of insertions. The number of sequence reads (‘‘reads/TA’’) is shown for the indicated region of the H37Rv chromosome. Potential TA dinucleotide insertions sites are indicated. Image from Griffin et al. 2011.<ref name=\"Griffin2011\"/>")
GENE OF AN ORGANISM THOUGHT TO BE CRITICAL FOR ITS SURVIVAL
Essential genes
Essential genes are indispensable genes for organisms to grow and reproduce offspring under certain environment. However, being essential is highly dependent on the circumstances in which an organism lives.
Википедия
Purely inseparable extension
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 an equation of the form xq = a, with q a power of p and a in k. Purely inseparable extensions are sometimes called radicial extensions, which should not be confused with the similar-sounding but more general notion of radical extensions.
