Class information for:
Level 1: MOUFANG LOOP//BOL LOOP//INNER MAPPING GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19979 482 14.1 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
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
2096 2             JOURNAL OF COMBINATORIAL DESIGNS//ARS COMBINATORIA//DISCRETE MATHEMATICS 5164
19979 1                   MOUFANG LOOP//BOL LOOP//INNER MAPPING GROUP 482

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 MOUFANG LOOP authKW 2863901 12% 77% 59
2 BOL LOOP authKW 1396345 5% 96% 23
3 INNER MAPPING GROUP authKW 1203656 4% 100% 19
4 MULTIPLICATION GROUP authKW 1080288 4% 95% 18
5 TWISTED SUBGROUP authKW 696854 2% 100% 11
6 BRUCK LOOP authKW 633503 2% 100% 10
7 CONJUGACY CLOSED LOOP authKW 570153 2% 100% 9
8 GROUPS WITH TRIALITY authKW 570153 2% 100% 9
9 TWISTED SUBSET authKW 506803 2% 100% 8
10 AUTOMORPHIC LOOP authKW 380102 1% 100% 6

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 25004 97% 0% 466
2 Mathematics, Applied 727 16% 0% 79
3 Logic 33 1% 0% 3
4 Multidisciplinary Sciences 5 1% 0% 4
5 Computer Science, Cybernetics 1 0% 0% 1
6 Computer Science, Theory & Methods -0 1% 0% 3
7 Computer Science, Artificial Intelligence -0 0% 0% 2
8 Telecommunications -0 0% 0% 2
9 Computer Science, Software Engineering -1 0% 0% 1
10 Computer Science, Information Systems -1 0% 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 MATEMAT ESTAST 63350 0% 100% 1
2 SP GEOMETRY DISCRETE MATH 63350 0% 100% 1
3 SEMINAR MATH IHRE DIDAKTIK 31674 0% 50% 1
4 UNIT ALGEBRA LOGIC 31674 0% 50% 1
5 DICATAM SEZ MATEMAT 28153 0% 22% 2
6 ELE OTECH COMP SCI 21115 0% 33% 1
7 BOLYAI 19134 3% 2% 14
8 ZENTRUM MATH 16866 3% 2% 14
9 MATEMAT COMPUTAC 16740 2% 3% 10
10 SEMINAR MATH IHRE DIDAKT 15836 0% 25% 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 RESULTS IN MATHEMATICS 26047 4% 2% 17
2 COMMUNICATIONS IN ALGEBRA 18404 11% 1% 53
3 JOURNAL OF ALGEBRA 17509 12% 0% 60
4 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 17080 4% 1% 19
5 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 16651 3% 2% 13
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 13083 4% 1% 20
7 JOURNAL OF GROUP THEORY 5716 2% 1% 9
8 INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 4791 2% 1% 9
9 ARCHIV DER MATHEMATIK 4059 4% 0% 18
10 EUROPEAN JOURNAL OF COMBINATORICS 4023 3% 0% 14

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 MOUFANG LOOP 2863901 12% 77% 59 Search MOUFANG+LOOP Search MOUFANG+LOOP
2 BOL LOOP 1396345 5% 96% 23 Search BOL+LOOP Search BOL+LOOP
3 INNER MAPPING GROUP 1203656 4% 100% 19 Search INNER+MAPPING+GROUP Search INNER+MAPPING+GROUP
4 MULTIPLICATION GROUP 1080288 4% 95% 18 Search MULTIPLICATION+GROUP Search MULTIPLICATION+GROUP
5 TWISTED SUBGROUP 696854 2% 100% 11 Search TWISTED+SUBGROUP Search TWISTED+SUBGROUP
6 BRUCK LOOP 633503 2% 100% 10 Search BRUCK+LOOP Search BRUCK+LOOP
7 CONJUGACY CLOSED LOOP 570153 2% 100% 9 Search CONJUGACY+CLOSED+LOOP Search CONJUGACY+CLOSED+LOOP
8 GROUPS WITH TRIALITY 570153 2% 100% 9 Search GROUPS+WITH+TRIALITY Search GROUPS+WITH+TRIALITY
9 TWISTED SUBSET 506803 2% 100% 8 Search TWISTED+SUBSET Search TWISTED+SUBSET
10 AUTOMORPHIC LOOP 380102 1% 100% 6 Search AUTOMORPHIC+LOOP Search AUTOMORPHIC+LOOP

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 DRAPAL, A , JEDLICKA, P , (2010) ON LOOP IDENTITIES THAT CAN BE OBTAINED BY A NUCLEAR IDENTIFICATION.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 31. ISSUE 7. P. 1907-1923 15 100% 3
2 JOHNSON, KW , KINYON, MK , NAGY, GP , VOJTECHOVSKY, P , (2011) SEARCHING FOR SMALL SIMPLE AUTOMORPHIC LOOPS.LMS JOURNAL OF COMPUTATION AND MATHEMATICS. VOL. 14. ISSUE . P. 200-213 15 94% 1
3 KINYON, MK , NAGY, GP , VOJTECHOVSKY, P , (2017) BOL LOOPS AND BRUCK LOOPS OF ORDER PQ.JOURNAL OF ALGEBRA. VOL. 473. ISSUE . P. 481 -512 12 100% 0
4 KINYON, MK , KUNEN, K , PHILLIPS, JD , VOJTECHOVSKY, P , (2016) THE STRUCTURE OF AUTOMORPHIC LOOPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 12. P. 8901 -8927 11 100% 1
5 MOSTOVOY, J , PEREZ-IZQUIERDO, JM , SHESTAKOV, IP , (2014) HOPF ALGEBRAS IN NON-ASSOCIATIVE LIE THEORY.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 4. ISSUE 1. P. 129 -173 16 70% 4
6 CSORGO, P , DRAPAL, A , (2009) ON LOOPS RICH IN AUTOMORPHISMS THAT ARE ABELIAN MODULO THE NUCLEUS.FORUM MATHEMATICUM. VOL. 21. ISSUE 3. P. 477 -489 12 100% 2
7 CSORGO, P , DRAPAL, A , KINYON, MK , (2009) BUCHSTEINER LOOPS.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. VOL. 19. ISSUE 8. P. 1049 -1088 12 100% 2
8 DRAPAL, A , VOJTECHOVSKY, P , (2010) CODE LOOPS IN BOTH PARITIES.JOURNAL OF ALGEBRAIC COMBINATORICS. VOL. 31. ISSUE 4. P. 585 -611 14 82% 0
9 NAGY, PT , STRAMBACH, K , (2008) SCHREIER LOOPS.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 58. ISSUE 3. P. 759 -786 12 100% 3
10 PHILLIPS, JD , STANOVSKY, D , (2010) AUTOMATED THEOREM PROVING IN QUASIGROUP AND LOOP THEORY.AI COMMUNICATIONS. VOL. 23. ISSUE 2-3. P. 267 -283 19 59% 1

Classes with closest relation at Level 1


Rank Class id link
1 21131 LATIN SQUARE//LATIN TRADE//DEFINING SETS
2 19739 GYROGROUP//THOMAS ROTATION//WIGNERS LITTLE GROUPS
3 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
4 11191 INTEGRAL GROUP RING//GROUP RING//TORSION UNIT
5 14972 MODULAR LIE SUPERALGEBRA//STRUCTURABLE ALGEBRA//DERIVATION SUPERALGEBRA
6 26728 INTEGRAT STUDIES//CONSTRUCTIVE AXIOMATIZATION//QUASIPARALLEL LINES
7 28597 BLOCK INTERSECTION GRAPHS//INFINITE DESIGN//MITRE CONFIGURATION
8 6358 FLAG TRANSITIVE//POINT PRIMITIVE//BLOCK TRANSITIVE
9 22764 LAGUERRE PLANE//CHAIN SPACES//ABT TOPOL
10 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA

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