Class information for:
Level 1: LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
35812 91 11.5 25%


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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
616 3       JOURNAL OF COMBINATORIAL DESIGNS//DISCRETE MATHEMATICS//MATHEMATICS 13952
4057 2             LATTICE ORDERED ALGEBRA//GROSSONE//LAGUERRE PLANE 623
35812 1                   LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD 91

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 LATTICE ORDERED ALGEBRA authKW 3461523 15% 74% 14
2 LATTICE ORDERED RING authKW 1698747 10% 56% 9
3 LEVI CIVITA FIELD authKW 1677783 5% 100% 5
4 WILD PROBLEMS authKW 1342226 4% 100% 4
5 LATTICE ORDERED FIELD authKW 1006670 3% 100% 3
6 DIRECTED FIELD authKW 671113 2% 100% 2
7 NON ARCHIMEDEAN CALCULUS authKW 671113 2% 100% 2
8 SQUARES POSITIVE authKW 671113 2% 100% 2
9 D BASIS authKW 447407 2% 67% 2
10 NEGATIVE SQUARE authKW 447407 2% 67% 2

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 4723 97% 0% 88
2 Mathematics, Applied 207 20% 0% 18
3 Logic 21 1% 0% 1
4 Computer Science, Theory & Methods 3 2% 0% 2
5 Statistics & Probability 0 1% 0% 1
6 Computer Science, Artificial Intelligence 0 1% 0% 1
7 Physics, Mathematical 0 1% 0% 1
8 Physics, Particles & Fields 0 1% 0% 1

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 ALGEBRA ZAHLENTHEOR 335557 1% 100% 1
2 HBERICH MATH 111851 1% 33% 1
3 PROJECT GEOMETRY PHYS 22369 1% 7% 1
4 LMIB MINIST EDUC 18640 1% 6% 1
5 TAIZHOU 4792 1% 1% 1
6 ALGEBRA ZAHLENTHEORIE 4595 1% 1% 1
7 LMIB 3585 2% 1% 2
8 STUDIES THEORET PHYS MATH 1581 1% 0% 1
9 MATH 1136 42% 0% 38
10 MATH INTERDISCIPLINARY SCI 988 1% 0% 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 ALGEBRA UNIVERSALIS 12049 9% 0% 8
2 COMMUNICATIONS IN ALGEBRA 8903 18% 0% 16
3 INDAGATIONES MATHEMATICAE-NEW SERIES 4470 4% 0% 4
4 JOURNAL OF ALGEBRA 3711 13% 0% 12
5 ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS 3104 3% 0% 3
6 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 1530 1% 0% 1
7 ISRAEL JOURNAL OF MATHEMATICS 1427 4% 0% 4
8 CZECHOSLOVAK MATHEMATICAL JOURNAL 1342 3% 0% 3
9 LINEAR ALGEBRA AND ITS APPLICATIONS 1045 7% 0% 6
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 975 8% 0% 7

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 LATTICE ORDERED ALGEBRA 3461523 15% 74% 14 Search LATTICE+ORDERED+ALGEBRA Search LATTICE+ORDERED+ALGEBRA
2 LATTICE ORDERED RING 1698747 10% 56% 9 Search LATTICE+ORDERED+RING Search LATTICE+ORDERED+RING
3 LEVI CIVITA FIELD 1677783 5% 100% 5 Search LEVI+CIVITA+FIELD Search LEVI+CIVITA+FIELD
4 WILD PROBLEMS 1342226 4% 100% 4 Search WILD+PROBLEMS Search WILD+PROBLEMS
5 LATTICE ORDERED FIELD 1006670 3% 100% 3 Search LATTICE+ORDERED+FIELD Search LATTICE+ORDERED+FIELD
6 DIRECTED FIELD 671113 2% 100% 2 Search DIRECTED+FIELD Search DIRECTED+FIELD
7 NON ARCHIMEDEAN CALCULUS 671113 2% 100% 2 Search NON+ARCHIMEDEAN+CALCULUS Search NON+ARCHIMEDEAN+CALCULUS
8 SQUARES POSITIVE 671113 2% 100% 2 Search SQUARES+POSITIVE Search SQUARES+POSITIVE
9 D BASIS 447407 2% 67% 2 Search D+BASIS Search D+BASIS
10 NEGATIVE SQUARE 447407 2% 67% 2 Search NEGATIVE+SQUARE Search NEGATIVE+SQUARE

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 RUMP, W , YANG, YC , (2014) NON-ARCHIMEDEAN DIRECTED FIELDS K(I) WITH O-SUBFIELD K AND I(2) =-1.JOURNAL OF ALGEBRA. VOL. 400. ISSUE . P. 1 -7 6 100% 0
2 SHAMSEDDINE, K , (2015) ANALYSIS ON THE LEVI-CIVITA FIELD AND COMPUTATIONAL APPLICATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 255. ISSUE . P. 44 -57 5 71% 0
3 SHAMSEDDINE, K , REMPEL, T , SIERENS, T , (2009) THE IMPLICIT FUNCTION THEOREM IN A NON-ARCHIMEDEAN SETTING.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 20. ISSUE 4. P. 603-617 4 100% 1
4 MA, JJ , (2009) LATTICE ORDERS ON 2 X 2 TRIANGULAR MATRIX ALGEBRAS.ALGEBRA UNIVERSALIS. VOL. 62. ISSUE 1. P. 51 -61 4 100% 0
5 MA, JJ , REDFIELD, RH , (2007) LATTICE-ORDERED FIELDS DETERMINED BY D-ELEMENTS.APPLIED CATEGORICAL STRUCTURES. VOL. 15. ISSUE 1-2. P. 19 -33 4 100% 0
6 MESZAROS, AR , SHAMSEDDINE, K , (2015) ON THE SOLUTIONS OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS AND BESSEL-TYPE SPECIAL FUNCTIONS ON THE LEVI-CIVITA FIELD.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 50. ISSUE 2. P. 53 -62 3 100% 0
7 MA, JJ , STEINBERG, SA , (2003) CONSTRUCTION OF LATTICE ORDERS ON THE SEMIGROUP RING OF A POSITIVE ROOTED MONOID.JOURNAL OF ALGEBRA. VOL. 260. ISSUE 2. P. 592 -616 4 100% 1
8 MA, JJ , WOJCIECHOWSKI, PJ , (2002) LATTICE ORDERS ON MATRIX ALGEBRAS.ALGEBRA UNIVERSALIS. VOL. 47. ISSUE 4. P. 435 -441 4 100% 6
9 LI, F , BAI, XL , QIU, DR , (2013) LATTICE-ORDERED MATRIX ALGEBRAS OVER REAL GCD-DOMAINS.COMMUNICATIONS IN ALGEBRA. VOL. 41. ISSUE 6. P. 2109 -2113 3 100% 0
10 MA, JJ , (2011) FINITE-DIMENSIONAL L-SIMPLE LATTICE-ORDERED ALGEBRAS WITH A D-BASIS.ALGEBRA UNIVERSALIS. VOL. 65. ISSUE 4. P. 341 -351 3 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
2 30789 GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS
3 32114 PRIME GROUPS//QFA GROUPS//ALGEBRAIC MATROIDS
4 26152 COXETER FUNCTOR//BELITSKIIS ALGORITHM//INDECOMPOSABLE SYSTEM
5 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
6 19357 CUTOFF PHENOMENON//CARD SHUFFLING//BIRTH AND DEATH CHAINS
7 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
8 28720 WEIL REPRESENTATION//GLOBALLY IRREDUCIBLE REPRESENTATIONS//ANZAHL THEOREM
9 20051 SUBGROUP GROWTH//SURFACE BRANCHED COVERING//HURWITZ PROBLEM
10 9563 O MINIMALITY//O MINIMAL STRUCTURES//O MINIMAL

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