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Definition df-lidl 20786
Description: Define the class of left ideals of a given ring. An ideal is a submodule of the ring viewed as a module over itself. For the usual textbook definition of a (left) ideal of a ring to be a subgroup of the additive group of the ring which is closed under left-multiplication by elements of the full ring, see dflidl2 20842. (Contributed by Stefan O'Rear, 31-Mar-2015.)
Assertion
Ref Expression
df-lidl LIdeal = (LSubSp ∘ ringLMod)

Detailed syntax breakdown of Definition df-lidl
StepHypRef Expression
1 clidl 20782 . 2 class LIdeal
2 clss 20541 . . 3 class LSubSp
3 crglmod 20781 . . 3 class ringLMod
42, 3ccom 5680 . 2 class (LSubSp ∘ ringLMod)
51, 4wceq 1541 1 wff LIdeal = (LSubSp ∘ ringLMod)
Colors of variables: wff setvar class
This definition is referenced by:  lidlval  20813
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