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Definition ideal

Etymology

From French id�al, from Late Latin ide?lis (�existing in idea�), from Latin idea (�idea�); see idea. In mathematics, the noun ring theory sense was first introduced by German mathematician Richard Dedekind in his 1871 edition of a text on number theory. The concept was quickly expanded to ring theory and later generalised to order theory. The set theory and Lie theory senses can be regarded as applications of the order theory sense.

Adjective

ideal (comparative more ideal, superlative most ideal)

Optimal; being the best possibility.

Perfect, flawless, having no defects.

Pertaining to ideas, or to a given idea.

Existing only in the mind; conceptual, imaginary.

Teaching or relating to the doctrine of idealism.

(mathematics) Not actually present, but considered as present when limits at infinity are included.

Noun

ideal (plural ideals)

A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

(algebra, ring theory) A subring closed under multiplication by its containing ring.

(algebra, order theory, lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).

(set theory) A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.

(algebra, Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) ? of a given Lie algebra ? such that the Lie bracket [?,?] is a subset of ?.

Results 490 Words with the letters IDEAL

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8 letter words with the letters IDEAL ↑

ABSEILED 13

AECIDIAL 13

AIRFIELD 13

ALCAIDES 13

ALCIDINE 14

ALGICIDE 15

ALIDADES 11

ALIGHTED 14

ALKOXIDE 21

ALTITUDE 11

ANNELIDS 12

ANVILLED 16

ARILLODE 11

ARTICLED 13

ASSAILED 10

ASSOILED 10

AUDIBLES 14

AURICLED 14

BEADLIKE 17

BEDRAILS 13

BELADIED 14

BELADIES 13

BEWAILED 16

BIASEDLY 15

BIDDABLE 17

BIDENTAL 14

BILANDER 14

BILLHEAD 16

BINDABLE 17

BIVALVED 21

BLINDAGE 16

BRAILLED 14

BUDDLEIA 15

CALCINED 17

CALIBRED 16

CAMAILED 16

CANFIELD 17

CAVILLED 18

CEDILLAS 14

CHALICED 18

CILIATED 13

CITADELS 13

CLIMAXED 23

DALLIERS 11

DARIOLES 10

DARKLIER 14

DATELINE 11

DATIVELY 16

DAWNLIKE 18

DAYFLIES 15

DEADLIER 11

DEADLIFT 14

DEADLINE 12

DEALFISH 15

DEALINGS 13

DECIDUAL 15

DECIMALS 16

DECLAIMS 16

DECRIALS 13

DEFILADE 14

DEICIDAL 14

DEIFICAL 16

DELAINES 11

DELATING 13

DELATION 11

DELAYING 15

DELICACY 18

DELICATE 13

DENIABLE 14

DENIABLY 16

DENTALIA 11

DENTINAL 12

DEPILATE 13

DEPRIVAL 17

DERAILED 11

DETAILED 11

DETAILER 10

DETRITAL 10

DEVISALS 14

DIABLERY 15

DIACETYL 15

DIALECTS 13

DIALLAGE 13

DIALLERS 11

DIALOGED 13

DIALOGER 12

DIALOGUE 13

DIALYSED 13

DIALYSER 12

DIALYSES 12

DIALYZED 22

DIALYZER 21

DIALYZES 21

DIASTOLE 10

DIAZOLES 19

DIHEDRAL 13

DILATATE 10

DILATERS 10

DILATIVE 14

DILEMMAS 16

DIMMABLE 19

DIPLEGIA 15

DIPPABLE 19

DIPTERAL 13

DISABLED 14

DISABLES 13

DISMALER 13

DISPLACE 16

DISVALUE 15

DIVALENT 15

DOVETAIL 14

DRAGLINE 13

DRAWLIER 13

DREAMILY 15

DREARILY 12

DRIVABLE 17

DUALIZED 21

DUALIZES 20

DULCINEA 15

DUTIABLE 14

DYSLEXIA 19

ECDYSIAL 15

ECOCIDAL 16

EDITABLE 13

ELATERID 10

ENDEMIAL 14

ENFILADE 14

ENTAILED 11

EPIDURAL 14

EVADIBLE 17

EXORDIAL 17

FAIRLEAD 13

FILIATED 13

FINAGLED 16

FINDABLE 17

FINIALED 14

FOLIAGED 15

FOLIATED 13

GADFLIES 15

GILTHEAD 14

GIMBALED 18

GLADIATE 12

GLADIEST 12

GLADLIER 13

GLIADINE 13

GLISSADE 12

GOADLIKE 16

GRILLADE 13

GUIDABLE 16

HALIDOME 15

HANDLIKE 17

HARDLINE 13

HAYFIELD 17

HEADLINE 13

HEADSAIL 12

HELIPADS 15

HERALDIC 15

HILLOAED 13

IDEALESS 10

IDEALISE 10

IDEALISM 13

IDEALIST 10

IDEALITY 12

IDEALIZE 19

IDEALOGY 14

IDOLATER 10

IMBALMED 19

IMBLAZED 25

IMPLEADS 16

INFLAMED 17

INFLATED 14

INLANDER 12

INWALLED 15

ISLANDED 12

ISLANDER 11

ISOLATED 10

ISOLEADS 10

KELOIDAL 15

KHEDIVAL 20

LABIATED 13

LACERTID 13

LADENING 14

LADYLIKE 17

LAICISED 13

LAICIZED 22

LAKESIDE 14

LANDLINE 13

LANDSIDE 12

LAPIDATE 13

LARDIEST 10

LARDLIKE 15

LARIATED 10

LATITUDE 11

LATTICED 13

LAVISHED 16

LEADIEST 10

LEADINGS 13

LIBRATED 13

LIMEADES 13

LINDANES 12

LINEATED 11

LIQUATED 20

MAIDENLY 16

MALADIES 13

MALEDICT 16

MALIGNED 16

MANDIBLE 17

MEDALING 16

MEDALIST 13

MEDALLIC 17

MEDIALLY 16

MEDIANLY 16

MEDICALS 16

MEDIEVAL 17

MELAMDIM 19

MELANOID 14

MELODIAS 13

MELODICA 16

MILADIES 13

MISDEALS 13

MISDEALT 13

MISLEADS 13

MISPLEAD 16

NAILHEAD 13

NONIDEAL 12

OEILLADE 11

OVERLAID 14

OXIDABLE 20

PALINODE 14

PALISADE 13

PANICLED 17

PANTILED 14

PARSLIED 13

PEDALIER 13

PEDALING 16

PEDIPALP 19

PERIDIAL 13

PETALOID 13

PIEBALDS 16

PILEATED 13

PILLAGED 16

PILLARED 14

PINELAND 15

PLEADING 16

PLEIADES 13

PLICATED 16

PRAEDIAL 13

RADIABLE 13

RADICELS 13

RADICLES 13

RAILHEAD 12

REALISED 10

REALIZED 19

REDIALED 11

REDTAILS 10

REMAILED 13

REMEDIAL 13

RENAILED 11

RESAILED 10

RESIDUAL 11

RETAILED 10

RIDEABLE 13

RIVALLED 15

SALARIED 10

SALIFIED 13

SANDLIKE 15

SANDPILE 14

SEMIBALD 16

SEPALOID 13

SIDEREAL 10

SIDEWALK 17

SIDEWALL 14

SIGNALED 13

SLIDABLE 14

SLIDEWAY 15

SODALITE 10

SPADILLE 14

SPIRALED 13

STEADILY 12

TAILORED 10

TALIPEDS 13

TIDELAND 12

TOADLIKE 14

TRIPEDAL 13

UNALLIED 13

UNHAILED 14

UNNAILED 13

VALIDATE 14

VARIEDLY 16

VEDALIAS 14

VIOLATED 14

VOIDABLE 17

WINDABLE 17

7 letter words with the letters IDEAL ↑

ADDIBLE 13

AEDILES 9

AIDLESS 9

ALCAIDE 12

ALIBIED 12

ALIDADE 10

ALIENED 10

ALIGNED 12

ALIPEDS 12

ALIUNDE 11

ANNELID 11

ANVILED 14

APPLIED 15

AUDIBLE 13

AUDILES 10

AVAILED 13

BALDIES 12

BEADILY 14

BEDRAIL 12

BIPEDAL 15

BRAILED 12

CAVILED 16

CEDILLA 13

CITADEL 12

CLAIMED 15

DAILIES 9

DALLIED 11

DALLIER 10

DALLIES 10

DARIOLE 9

DEALING 12

DECIMAL 15

DECLAIM 15

DECRIAL 12

DELAINE 10

DELIRIA 9

DELTAIC 12

DENIALS 10

DERAILS 9

DETAILS 9

DEVISAL 13

DIALECT 12

DIALERS 9

DIALLED 11

DIALLEL 11

DIALLER 10

DIALYSE 11

DIALYZE 20

DIAZOLE 18

DILATED 10

DILATER 9

DILATES 9

DILEMMA 15

DISABLE 12

DUALIZE 19

EDICTAL 12

ELAPIDS 12

EMAILED 12

FLAILED 13

GALLIED 12

GEOIDAL 11

GLADIER 11

GLAIRED 11

GLAIVED 15

HALIDES 11

HEADILY 13

HELIPAD 14

HIDABLE 14

IDEALLY 12

IMPALED 15

IMPLEAD 15

INHALED 12

INLACED 13

ISOLEAD 9

LADDIES 10

LAPIDES 12

LARDIER 9

LEADIER 9

LEADING 12

LIAISED 9

LIGATED 11

LIMEADE 12

LINDANE 11

MEDIALS 12

MEDICAL 15

MELODIA 12

MIAULED 13

MISDEAL 12

MISLEAD 12

OEDIPAL 12

PALSIED 12

PIEBALD 15

PLAIDED 13

PLAINED 13

PLAITED 12

PLEIADS 12

PREDIAL 12

QUAILED 19

RADIALE 9

RADICEL 12

RADICLE 12

RALLIED 10

READILY 11

REDIALS 9

REDTAIL 9

RIDABLE 12

RIVALED 13

SALLIED 10

SEDILIA 9

SNAILED 10

TALIPED 12

TALLIED 10

TRAILED 9

UNIDEAL 11

UREDIAL 10

VEDALIA 13

VIALLED 14

6 letter words with the letters IDEAL ↑

AEDILE 8

AFIELD 11

AISLED 8

ALINED 9

ALIPED 11

ALLIED 9

ARILED 8

AUDILE 9

BAILED 11

DEASIL 8

DENIAL 9

DERAIL 8

DETAIL 8

DIALED 9

DIALER 8

DILATE 8

EIDOLA 8

ELAPID 11

FAILED 11

HAILED 10

HALIDE 10

IDEALS 8

JAILED 17

LADDIE 9

LADIES 8

LAIRED 8

LAZIED 17

MAILED 11

MEDIAL 11

NAILED 9

PLEIAD 11

RAILED 8

REDIAL 8

RELAID 8

SAILED 8

TAILED 8

VAILED 12

VIALED 12

WAILED 11

5 letter words with the letters IDEAL ↑

AILED 7

IDEAL 7

4 letter words with the letters IDEAL ↑

AIDE 5

DALE 6

DEAL 6

DEIL 6

DELI 6

DIAL 6

DIEL 6

IDEA 5

IDLE 6

ILEA 5

LADE 6

LAID 6

LEAD 6

LIED 6

3 letter words with the letters IDEAL ↑

AID 4

AIL 4

ALE 4

DAL 5

DEL 5

DIE 4

ELD 5

LAD 5

LEA 4

LED 5

LEI 4

LID 5

LIE 4

2 letter words with the letters IDEAL ↑

AD 3

AE 2

AI 2

AL 3

DA 3

DE 3

DI 3

ED 3

EL 3

ID 3

LA 3

LI 3

You can also try words with the phrase IDEAL, words starting with the letters IDEAL, or words ending in the letters IDEAL.

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