Locally nilpotent

In the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if I_p, the localization of I at p, is a nilpotent ideal in A_p.

In non-commutative algebra and group theory, an algebra or group is locally nilpotent if and only if every finitely generated subalgebra or subgroup is nilpotent. The subgroup generated by the normal locally nilpotent subgroups is called the Hirsch–Plotkin radical and is the generalization of the Fitting subgroup to groups without the ascending chain condition on normal subgroups.

单词	Locally nilpotent ideal
释义	Locally nilpotent ideal 英语百科 Locally nilpotent In the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if I_p, the localization of I at p, is a nilpotent ideal in A_p. In non-commutative algebra and group theory, an algebra or group is locally nilpotent if and only if every finitely generated subalgebra or subgroup is nilpotent. The subgroup generated by the normal locally nilpotent subgroups is called the Hirsch–Plotkin radical and is the generalization of the Fitting subgroup to groups without the ascending chain condition on normal subgroups.
随便看	Hassler的意思 hasslerana的意思 Hassler method的意思 hasslers的意思 hassles的意思 hassle的意思 Hasslinghausen的意思 Hassloch的意思 hasslock的意思 Hasslö的意思 Hassman的意思 hassmen的意思 Hassmersheim的意思 hassner的意思 Hasso的意思 hassock的意思 hassock的意思 hassock的意思 hassocky的意思 hassoes的意思 hass oettel cell的意思 hassoettel cell的意思 has some knowledge of的意思 has something to do的意思 has something to do with的意思

Locally nilpotent ideal

Locally nilpotent