Class information for:
Level 1: BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10038 1097 14.2 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
325 3       MATHEMATICS//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA 38375
1267 2             COMMUNICATIONS IN ALGEBRA//MATHEMATICS//PRUFER DOMAIN 8782
10038 1                   BUTLER GROUPS//TOTALLY PROJECTIVE GROUPS//E RINGS 1097

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 BUTLER GROUPS authKW 334005 1% 100% 12
2 TOTALLY PROJECTIVE GROUPS authKW 278338 1% 100% 10
3 E RINGS authKW 253032 1% 91% 10
4 ALMOST COMPLETELY DECOMPOSABLE GROUP authKW 250504 1% 100% 9
5 CELLULAR COVER authKW 167003 1% 100% 6
6 DIRECT SUMS OF CYCLIC GROUPS authKW 167003 1% 100% 6
7 NORMALIZED UNITS authKW 167003 1% 100% 6
8 QUOTIENT DIVISIBLE GROUP authKW 167003 1% 100% 6
9 SEPARABLE GROUPS authKW 167003 1% 100% 6
10 ENDOMORPHISM RING authKW 141840 2% 21% 24

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 58605 98% 0% 1076
2 Mathematics, Applied 2419 20% 0% 214
3 Logic 515 2% 0% 17
4 Poetry 29 0% 0% 2
5 Multidisciplinary Sciences 26 1% 0% 12
6 Art 0 0% 0% 1
7 Humanities, Multidisciplinary -0 0% 0% 1
8 Statistics & Probability -0 0% 0% 5
9 Literature -1 0% 0% 1
10 Chemistry, Medicinal -7 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 HBEREICH MATH INFORMAT 6 100064 1% 28% 13
2 AREA GEOMETRIA TOPOL 43483 0% 31% 5
3 HBEREICH 6 41239 1% 11% 13
4 HBEREICH MATH 6 33139 1% 13% 9
5 CNRS MATH NICOLAS O ME 27834 0% 100% 1
6 HBEREICH 6 MATH INFORMAT 27834 0% 100% 1
7 INSURANCE SUPERVIS DIRECTORATE 27834 0% 100% 1
8 IST MATEMAT INFORMAT SISTEMIST 27834 0% 100% 1
9 KATEDRA ALEBRY MFF 27834 0% 100% 1
10 CITE 3 15902 0% 29% 2

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 76601 15% 2% 163
2 JOURNAL OF ALGEBRA 35548 12% 1% 129
3 HOUSTON JOURNAL OF MATHEMATICS 22866 4% 2% 40
4 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 20450 4% 2% 47
5 RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA 13151 1% 4% 13
6 CZECHOSLOVAK MATHEMATICAL JOURNAL 10393 3% 1% 29
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8536 7% 0% 72
8 JOURNAL OF PURE AND APPLIED ALGEBRA 8370 4% 1% 42
9 ARCHIV DER MATHEMATIK 7942 3% 1% 38
10 FORUM MATHEMATICUM 7868 2% 1% 19

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 BUTLER GROUPS 334005 1% 100% 12 Search BUTLER+GROUPS Search BUTLER+GROUPS
2 TOTALLY PROJECTIVE GROUPS 278338 1% 100% 10 Search TOTALLY+PROJECTIVE+GROUPS Search TOTALLY+PROJECTIVE+GROUPS
3 E RINGS 253032 1% 91% 10 Search E+RINGS Search E+RINGS
4 ALMOST COMPLETELY DECOMPOSABLE GROUP 250504 1% 100% 9 Search ALMOST+COMPLETELY+DECOMPOSABLE+GROUP Search ALMOST+COMPLETELY+DECOMPOSABLE+GROUP
5 CELLULAR COVER 167003 1% 100% 6 Search CELLULAR+COVER Search CELLULAR+COVER
6 DIRECT SUMS OF CYCLIC GROUPS 167003 1% 100% 6 Search DIRECT+SUMS+OF+CYCLIC+GROUPS Search DIRECT+SUMS+OF+CYCLIC+GROUPS
7 NORMALIZED UNITS 167003 1% 100% 6 Search NORMALIZED+UNITS Search NORMALIZED+UNITS
8 QUOTIENT DIVISIBLE GROUP 167003 1% 100% 6 Search QUOTIENT+DIVISIBLE+GROUP Search QUOTIENT+DIVISIBLE+GROUP
9 SEPARABLE GROUPS 167003 1% 100% 6 Search SEPARABLE+GROUPS Search SEPARABLE+GROUPS
10 ENDOMORPHISM RING 141840 2% 21% 24 Search ENDOMORPHISM+RING Search ENDOMORPHISM+RING

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 EKLOF, PC , (2002) THE AFFINITY OF SET THEORY AND ABELIAN GROUP THEORY.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 32. ISSUE 4. P. 1119-1134 34 89% 1
2 GOBEL, R , HERDEN, D , SHELAH, S , (2011) ABSOLUTE E-RINGS.ADVANCES IN MATHEMATICS. VOL. 226. ISSUE 1. P. 235-253 17 100% 2
3 CASACUBERTA, C , RODRIGUEZ, JL , TAI, JY , (2016) LOCALIZATIONS OF ABELIAN EILENBERG-MAC LANE SPACES OF FINITE TYPE.ALGEBRAIC AND GEOMETRIC TOPOLOGY. VOL. 16. ISSUE 4. P. 2379 -2420 24 63% 0
4 GOBEL, R , (2011) ABSOLUTE E-MODULES.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 215. ISSUE 5. P. 822-828 17 100% 0
5 GOBEL, R , (2002) REMARKS ABOUT THE HISTORY OF ABELIAN GROUPS IN ENGLAND AND GERMANY.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 32. ISSUE 4. P. 1197-1217 30 71% 0
6 FILES, S , GOBEL, R , (2000) REPRESENTATIONS OVER PID'S WITH THREE DISTINGUISHED SUBMODULES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 352. ISSUE 5. P. 2407-2427 22 100% 0
7 ALBRECHT, U , BREAZ, S , WICKLESS, W , (2009) A-SOLVABILITY AND MIXED ABELIAN GROUPS.COMMUNICATIONS IN ALGEBRA. VOL. 37. ISSUE 2. P. 439-452 16 100% 2
8 BREAZ, S , (2010) WARFIELD DUALITIES INDUCED BY SELF-SMALL MIXED GROUPS.JOURNAL OF GROUP THEORY. VOL. 13. ISSUE 3. P. 391-409 14 100% 0
9 BREAZ, S , (2015) FINITE TORSION-FREE RANK ENDOMORPHISM RINGS.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 31. ISSUE 1. P. 39 -43 12 100% 0
10 DANCHEV, P , (2014) ON OMEGA(1)-WEAKLY P(ALPHA)-PROJECTIVE ABELIAN P-GROUPS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 37. ISSUE 4. P. 1057 -1074 12 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM
2 4784 PREENVELOPE//PRECOVER//SEMIDUALIZING MODULE
3 37321 COVERS OF GROUPS//FERRERO PAIR//PLANAR NEARRING
4 4995 LARGE CARDINALS//SUPERCOMPACT CARDINAL//LOGIC
5 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
6 25245 DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS
7 34340 FEEDBACK CYCLIZATION//POLE ASSIGNABILITY//SYSTEMS OVER COMMUTATIVE RINGS
8 14820 MAXIMAL CONDITION//MINIMAL CONDITION//FUNDAMENTAL NUMER MATH
9 8421 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING
10 30706 SHAPE DOMINATION//HOMOTOPY DOMINATION//ALGEBRAIC 2 COMPLEX

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