Class information for:
Level 1: WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16040 676 15.8 27%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1540 2             MATHEMATICS//JACOBIAN CONJECTURE//O MINIMAL STRUCTURES 7449
16040 1                   WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES 676

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 WITT EQUIVALENCE authKW 410629 1% 91% 10
2 SPECIAL GROUPS authKW 304889 1% 75% 9
3 REAL PLACES authKW 289081 1% 80% 8
4 SPACES OF ORDERINGS authKW 271016 1% 100% 6
5 ORDERINGS OF HIGHER LEVEL authKW 225847 1% 100% 5
6 PYTHAGORAS NUMBER authKW 206482 1% 57% 8
7 SEMIALGEBRAIC FUNCTION authKW 188204 1% 83% 5
8 SPACES OF REAL PLACES authKW 180677 1% 100% 4
9 SEMIALGEBRAIC SET authKW 152435 1% 38% 9
10 ALGEBRAIC THEORY OF QUADRATIC FORMS authKW 144540 1% 80% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 35775 98% 0% 660
2 Logic 2899 5% 0% 31
3 Mathematics, Applied 944 16% 0% 107
4 Multidisciplinary Sciences 0 0% 0% 2
5 Acoustics -0 0% 0% 2
6 Computer Science, Software Engineering -0 0% 0% 3
7 Computer Science, Theory & Methods -0 1% 0% 4
8 Philosophy -0 0% 0% 1
9 Horticulture -0 0% 0% 1
10 Operations Research & Management Science -1 0% 0% 2

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 F CIENCIAS MATEMAT 144540 1% 80% 4
2 PROJET TOPOL GEOMET ALGEBR 90339 0% 100% 2
3 ANALYT FUNCT DIFFERENTIAL EQUAT 45169 0% 100% 1
4 FAL MATH 45169 0% 100% 1
5 IUFM ROUEN 45169 0% 100% 1
6 MATEMAT DPTO GEOMETR TOPOL 45169 0% 100% 1
7 MATEMAT FIZIKO MECH 45169 0% 100% 1
8 UMR CNRS6623 45169 0% 100% 1
9 UNIV MATH STAT 45169 0% 100% 1
10 ZENTRUM MATH MII 45169 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATHEMATISCHE ZEITSCHRIFT 15773 6% 1% 42
2 JOURNAL OF PURE AND APPLIED ALGEBRA 14969 7% 1% 44
3 JOURNAL OF ALGEBRA 14622 10% 1% 65
4 COMMUNICATIONS IN ALGEBRA 13593 8% 1% 54
5 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 12635 4% 1% 29
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 8442 4% 1% 26
7 MANUSCRIPTA MATHEMATICA 7997 4% 1% 24
8 LECTURE NOTES IN MATHEMATICS 7264 5% 0% 34
9 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 7016 1% 2% 10
10 PACIFIC JOURNAL OF MATHEMATICS 5662 4% 1% 24

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 WITT EQUIVALENCE 410629 1% 91% 10 Search WITT+EQUIVALENCE Search WITT+EQUIVALENCE
2 SPECIAL GROUPS 304889 1% 75% 9 Search SPECIAL+GROUPS Search SPECIAL+GROUPS
3 REAL PLACES 289081 1% 80% 8 Search REAL+PLACES Search REAL+PLACES
4 SPACES OF ORDERINGS 271016 1% 100% 6 Search SPACES+OF+ORDERINGS Search SPACES+OF+ORDERINGS
5 ORDERINGS OF HIGHER LEVEL 225847 1% 100% 5 Search ORDERINGS+OF+HIGHER+LEVEL Search ORDERINGS+OF+HIGHER+LEVEL
6 PYTHAGORAS NUMBER 206482 1% 57% 8 Search PYTHAGORAS+NUMBER Search PYTHAGORAS+NUMBER
7 SEMIALGEBRAIC FUNCTION 188204 1% 83% 5 Search SEMIALGEBRAIC+FUNCTION Search SEMIALGEBRAIC+FUNCTION
8 SPACES OF REAL PLACES 180677 1% 100% 4 Search SPACES+OF+REAL+PLACES Search SPACES+OF+REAL+PLACES
9 SEMIALGEBRAIC SET 152435 1% 38% 9 Search SEMIALGEBRAIC+SET Search SEMIALGEBRAIC+SET
10 ALGEBRAIC THEORY OF QUADRATIC FORMS 144540 1% 80% 4 Search ALGEBRAIC+THEORY+OF+QUADRATIC+FORMS Search ALGEBRAIC+THEORY+OF+QUADRATIC+FORMS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SCHEIDERER, C , (1992) REAL ALGEBRA AND ITS APPLICATIONS TO GEOMETRY IN THE LAST 10 YEARS - SOME MAJOR DEVELOPMENTS AND RESULTS.LECTURE NOTES IN MATHEMATICS. VOL. 1524. ISSUE . P. 75 -96 63 84% 0
2 FERNANDO, JF , (2016) ON THE SIZE OF THE FIBERS OF SPECTRAL MAPS INDUCED BY SEMIALGEBRAIC EMBEDDINGS.MATHEMATISCHE NACHRICHTEN. VOL. 289. ISSUE 14-15. P. 1760 -1791 15 94% 0
3 MARIANO, HL , MIRAGLIA, F , (2011) THE PROFINITE HULL OF SPECIAL GROUPS AND LOCAL-GLOBAL PRINCIPLES.STUDIA LOGICA. VOL. 97. ISSUE 1. P. 127 -160 15 100% 0
4 FERNANDO, JF , (2008) ON THE POSITIVE EXTENSION PROPERTY AND HILBERT'S 17TH PROBLEM FOR REAL ANALYTIC SETS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 618. ISSUE . P. 1-49 15 100% 1
5 ACQUISTAPACE, F , BROGLIA, F , FERNANDO, JF , (2016) ON THE NULLSTELLENSATZE FOR STEIN SPACES AND C-ANALYTIC SETS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 6. P. 3899 -3929 11 100% 0
6 GLADKI, P , MARSHALL, M , (2015) QUOTIENTS OF INDEX TWO AND GENERAL QUOTIENTS IN A SPACE OF ORDERINGS.FUNDAMENTA MATHEMATICAE. VOL. 229. ISSUE 3. P. 255 -275 10 91% 0
7 MARSHALL, M , (2003) *-ORDERINGS AND *-VALUATIONS ON ALGEBRAS OF FINITE GELFAND-KIRILLOV DIMENSION.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 179. ISSUE 3. P. 255-271 12 100% 8
8 CIMPRIC, J , KLEP, I , (2006) GENERALIZED ORDERINGS AND RINGS OF FRACTIONS.ALGEBRA UNIVERSALIS. VOL. 55. ISSUE 1. P. 93-109 12 92% 2
9 FERNANDO, JF , RUIZ, JM , (2005) ON THE PYTHAGORAS NUMBERS OF REAL ANALYTIC SET GERMS.BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE. VOL. 133. ISSUE 3. P. 349-362 11 100% 1
10 LEUNG, KH , MARSHALL, M , ZHANG, YF , (1997) THE REAL SPECTRUM OF A NONCOMMUTATIVE RING.JOURNAL OF ALGEBRA. VOL. 198. ISSUE 2. P. 412-427 14 100% 9

Classes with closest relation at Level 1


Rank Class id link
1 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
2 18628 ABSOLUTE GALOIS GROUP//HILBERTIAN FIELDS//DEFINABLE VALUATIONS
3 19778 REAL ALGEBRAIC VARIETY//TRIQUADRIC//FEWNOMIALS
4 9563 O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL
5 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD
6 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
7 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
8 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
9 5360 LOJASIEWICZ EXPONENT//MILNOR NUMBER//MOTIVIC INTEGRATION
10 12925 LOCALE//F RING//BIFRAME

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