Class information for:
Level 1: INTEGRAL GROUP RING//GROUP RING//TORSION UNIT

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
11191 1001 13.5 36%



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
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
3622 2             INTEGRAL GROUP RING//GROUP RING//TORSION UNIT 1230
11191 1                   INTEGRAL GROUP RING//GROUP RING//TORSION UNIT 1001

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 INTEGRAL GROUP RING authKW 937027 5% 64% 48
2 GROUP RING authKW 752317 7% 33% 74
3 TORSION UNIT authKW 706092 2% 93% 25
4 DIVISION RING authKW 660556 5% 46% 47
5 ZASSENHAUS CONJECTURE authKW 549060 2% 100% 18
6 GROUP ALGEBRA authKW 545504 6% 28% 64
7 UNIT GROUP authKW 502914 3% 63% 26
8 PARTIAL AUGMENTATION authKW 396543 1% 100% 13
9 WEDDERBURN DECOMPOSITION authKW 361217 1% 79% 15
10 CENTRAL UNIT authKW 307573 1% 92% 11

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 52721 97% 0% 975
2 Mathematics, Applied 3196 23% 0% 232
3 Multidisciplinary Sciences 1 0% 0% 4
4 Computer Science, Theory & Methods 0 1% 0% 8
5 Medical Informatics -0 0% 0% 1
6 Computer Science, Information Systems -2 0% 0% 3
7 Health Care Sciences & Services -3 0% 0% 1
8 Statistics & Probability -4 0% 0% 1
9 Physics, Mathematical -4 0% 0% 2
10 Computer Science, Artificial Intelligence -5 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 IGT 119047 1% 35% 11
2 ADV STUDY MATH 89731 2% 18% 16
3 DIPARTIMENTO MATEMAT E DE GIORGI 79762 2% 14% 19
4 METODOS CUANTITATIVOS INFORMAT 54224 0% 44% 4
5 CIENCAIS JURID METODOS CUANTITIVOS INFORMA 30503 0% 100% 1
6 DEP METODOS CUANTITAT INFORMAT 30503 0% 100% 1
7 EDGE AUTOMAT 30503 0% 100% 1
8 FINANCIAL COMMOD RISK CONSULTING 30503 0% 100% 1
9 HBEREICH MATH PHYS INFORMAT 08 30503 0% 100% 1
10 LERHGEBIET ALGEBRA ZAHLENTHEORIE 30503 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 COMMUNICATIONS IN ALGEBRA 120264 19% 2% 195
2 JOURNAL OF ALGEBRA 57072 16% 1% 156
3 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 56983 5% 4% 50
4 JOURNAL OF GROUP THEORY 24793 3% 3% 27
5 JOURNAL OF PURE AND APPLIED ALGEBRA 15208 5% 1% 54
6 PUBLICATIONES MATHEMATICAE-DEBRECEN 14158 3% 2% 30
7 ARCHIV DER MATHEMATIK 13925 5% 1% 48
8 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 10329 3% 1% 28
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9369 7% 0% 72
10 ALGEBRA COLLOQUIUM 6689 2% 1% 16

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 INTEGRAL GROUP RING 937027 5% 64% 48 Search INTEGRAL+GROUP+RING Search INTEGRAL+GROUP+RING
2 GROUP RING 752317 7% 33% 74 Search GROUP+RING Search GROUP+RING
3 TORSION UNIT 706092 2% 93% 25 Search TORSION+UNIT Search TORSION+UNIT
4 DIVISION RING 660556 5% 46% 47 Search DIVISION+RING Search DIVISION+RING
5 ZASSENHAUS CONJECTURE 549060 2% 100% 18 Search ZASSENHAUS+CONJECTURE Search ZASSENHAUS+CONJECTURE
6 GROUP ALGEBRA 545504 6% 28% 64 Search GROUP+ALGEBRA Search GROUP+ALGEBRA
7 UNIT GROUP 502914 3% 63% 26 Search UNIT+GROUP Search UNIT+GROUP
8 PARTIAL AUGMENTATION 396543 1% 100% 13 Search PARTIAL+AUGMENTATION Search PARTIAL+AUGMENTATION
9 WEDDERBURN DECOMPOSITION 361217 1% 79% 15 Search WEDDERBURN+DECOMPOSITION Search WEDDERBURN+DECOMPOSITION
10 CENTRAL UNIT 307573 1% 92% 11 Search CENTRAL+UNIT Search CENTRAL+UNIT

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 BOVDI, A , (1998) THE GROUP OF UNITS OF A GROUP ALGEBRA OF CHARACTERISTIC P.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 52. ISSUE 1-2. P. 193 -244 53 91% 13
2 GONCALVES, JZ , DEL RIO, A , (2013) A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 12. ISSUE 6. P. - 33 97% 0
3 PASSI, IBS , (2012) GROUP ALGEBRAS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 43. ISSUE 2. P. 89 -106 29 97% 0
4 HERTWECK, M , IWAKI, E , JESPERS, E , JURIAANS, SO , (2007) ON HYPERCENTRAL UNITS IN INTEGRAL GROUP RINGS.JOURNAL OF GROUP THEORY. VOL. 10. ISSUE 4. P. 477 -504 25 100% 2
5 GILDEA, J , TYLYSHCHAK, A , (2016) TORSION UNITS IN THE INTEGRAL GROUP RING OF PSL(3,4).JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 1. P. - 20 100% 0
6 GILDEA, J , (2016) TORSION UNITS FOR SOME ALMOST SIMPLE GROUPS.CZECHOSLOVAK MATHEMATICAL JOURNAL. VOL. 66. ISSUE 2. P. 561 -574 20 100% 0
7 GONCALVES, JZ , SHIRVANI, M , (2012) A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION.COMMUNICATIONS IN ALGEBRA. VOL. 40. ISSUE 5. P. 1704 -1723 21 100% 7
8 LI, ZX , HAI, JK , (2014) COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 13. ISSUE 5. P. - 19 100% 1
9 BELL, JP , GONCALVES, JZ , (2016) FREE ALGEBRAS AND FREE GROUPS IN ORE EXTENSIONS AND FREE GROUP ALGEBRAS IN DIVISION RINGS.JOURNAL OF ALGEBRA. VOL. 455. ISSUE . P. 235 -250 20 91% 0
10 LI, ZX , (2016) COLEMAN AUTOMORPHISMS OF PERMUTATIONAL WREATH PRODUCTS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 9. P. 3933 -3938 18 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 27463 AUGMENTATION IDEAL//AUGMENTATION QUOTIENT//INTEGRAL GROUP RING
2 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
3 19979 MOUFANG LOOP//BOL LOOP//INNER MAPPING GROUP
4 14820 MAXIMAL CONDITION//MINIMAL CONDITION//FUNDAMENTAL NUMER MATH
5 16627 ENGEL ELEMENTS//ASSOCIATED LIE RINGS//INFINITE SUBSETS
6 28000 FIRM MODULES//MORITA LIKE EQUIVALENCE//INFINITE MATRIX RINGS
7 21926 CYCLICALLY PRESENTED GROUP//CYCLIC PRESENTATIONS//FIBONACCI GROUP
8 18288 SELF SIMILAR GROUPS//AUTOMATON GROUP//BRANCH GROUPS
9 32134 DOMINION//SPECIAL AMALGAM//DECOMPOSABLE VARIETY
10 26285 QUASI PERMUTATION REPRESENTATIONS//LOCAL MULTIPLIER ALGEBRA//RINGS OF QUOTIENTS

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