Vipul at 06:25, 17 July 2009

2009-07-17T06:25:22Z

← Older revision		Revision as of 06:25, 17 July 2009
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	old specific context = subgroup\|		old specific context = subgroup\|
	new generic context = Lie ring\|		new generic context = Lie ring\|
	new specific context = Lie subring}}		new specific context = Lie subring\|
			old property = subnormal subgroup}}

	==Definition==		==Definition==

Vipul: Created page with '{{Lie subring property}} {{analogue of property| old generic context = group| old specific context = subgroup| new generic context = Lie ring| new specific context = Lie subring}…'

2009-07-17T06:24:57Z

Created page with '{{Lie subring property}} {{analogue of property| old generic context = group| old specific context = subgroup| new generic context = Lie ring| new specific context = Lie subring}…'

New page

{{Lie subring property}}
{{analogue of property|
old generic context = group|
old specific context = subgroup|
new generic context = Lie ring|
new specific context = Lie subring}}

==Definition==

A [[subring of a Lie ring|subring]] <math>S</math> of a [[Lie ring]] <math>L</math> is a subring such that there exists an ascending chain of subrings:

<math>S = S_0 \subseteq S_1 \subseteq S_2 \subseteq \dots \subseteq S_n = L</math>

such that each <math>S_i</math> is an [[ideal of a Lie ring|ideal]] in <math>L</math>.

==Relation with other properties==

===Stronger properties===

* [[Weaker than::Ideal of a Lie ring]]
* [[Weaker than::2-sub-ideal of a Lie ring]]

Sub-ideal of a Lie ring - Revision history

Vipul at 06:25, 17 July 2009

Vipul: Created page with '{{Lie subring property}} {{analogue of property| old generic context = group| old specific context = subgroup| new generic context = Lie ring| new specific context = Lie subring}…'