Class information for:
Level 1: DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
25245 287 13.4 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
25245 1                   DUBROVIN VALUATION RING//TOTAL VALUATION RING//HEREDITARY ORDERS 287

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 DUBROVIN VALUATION RING authKW 756582 3% 89% 8
2 TOTAL VALUATION RING authKW 638368 2% 100% 6
3 HEREDITARY ORDERS authKW 340461 1% 80% 4
4 DIRECT TOPOLOGY authKW 319184 1% 100% 3
5 I COMPACTNESS authKW 319184 1% 100% 3
6 SEMIHEREDITARY ORDERS authKW 319184 1% 100% 3
7 GALOIS ALGEBRAS authKW 239386 1% 75% 3
8 CROSSED PRODUCT ORDERS authKW 212789 1% 100% 2
9 DISCRETE RING authKW 212789 1% 100% 2
10 GRADED EXTENSION authKW 212789 1% 100% 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 15276 98% 0% 281
2 Mathematics, Applied 412 16% 0% 46
3 Computer Science, Theory & Methods 0 1% 0% 3
4 Multidisciplinary Sciences 0 0% 0% 1
5 Automation & Control Systems -0 0% 0% 1
6 Statistics & Probability -0 0% 0% 1
7 Computer Science, Information Systems -0 0% 0% 1
8 Mechanics -0 1% 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 MATH B3 26597 0% 25% 1
2 ABT REINE MATH 10636 1% 5% 2
3 GLUSHKOV CYBERNET 8864 0% 8% 1
4 MATH 0112 7091 0% 7% 1
5 ALGEBRA ZAHLENTHEORIE 5826 1% 3% 2
6 ALGEBRA GEOMETRIA 5501 1% 1% 4
7 ALGEBRA GEOMETR 4624 0% 4% 1
8 COMP INFORMAT MATH SCI 3798 0% 4% 1
9 MATEMAT CIENCIA COMP 2472 0% 2% 1
10 FAK 4 1296 0% 1% 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 19438 15% 0% 42
2 JOURNAL OF ALGEBRA 11800 13% 0% 38
3 FORUM MATHEMATICUM 8351 3% 1% 10
4 ARCHIV DER MATHEMATIK 3032 4% 0% 12
5 MATHEMATICS OF THE USSR-SBORNIK 2434 1% 1% 4
6 ALGEBRAS AND REPRESENTATION THEORY 2250 1% 1% 4
7 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 1981 2% 0% 5
8 JOURNAL OF PURE AND APPLIED ALGEBRA 1812 3% 0% 10
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 1242 3% 0% 10
10 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 1150 2% 0% 5

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 DUBROVIN VALUATION RING 756582 3% 89% 8 Search DUBROVIN+VALUATION+RING Search DUBROVIN+VALUATION+RING
2 TOTAL VALUATION RING 638368 2% 100% 6 Search TOTAL+VALUATION+RING Search TOTAL+VALUATION+RING
3 HEREDITARY ORDERS 340461 1% 80% 4 Search HEREDITARY+ORDERS Search HEREDITARY+ORDERS
4 DIRECT TOPOLOGY 319184 1% 100% 3 Search DIRECT+TOPOLOGY Search DIRECT+TOPOLOGY
5 I COMPACTNESS 319184 1% 100% 3 Search I+COMPACTNESS Search I+COMPACTNESS
6 SEMIHEREDITARY ORDERS 319184 1% 100% 3 Search SEMIHEREDITARY+ORDERS Search SEMIHEREDITARY+ORDERS
7 GALOIS ALGEBRAS 239386 1% 75% 3 Search GALOIS+ALGEBRAS Search GALOIS+ALGEBRAS
8 CROSSED PRODUCT ORDERS 212789 1% 100% 2 Search CROSSED+PRODUCT+ORDERS Search CROSSED+PRODUCT+ORDERS
9 DISCRETE RING 212789 1% 100% 2 Search DISCRETE+RING Search DISCRETE+RING
10 GRADED EXTENSION 212789 1% 100% 2 Search GRADED+EXTENSION Search GRADED+EXTENSION

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 KAUTA, JS , (2014) WEAK CROSSED-PRODUCT ORDERS OVER VALUATION RINGS.JOURNAL OF ALGEBRA. VOL. 402. ISSUE . P. 319 -350 16 100% 1
2 MAZUREK, R , TORNER, G , (2006) ON SEMIPRIME SEGMENTS OF RINGS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 80. ISSUE . P. 263-272 10 100% 1
3 XIE, GM , MARUBAYASHI, H , (2009) A CLASSIFICATION OF GRADED EXTENSIONS IN A SKEW LAURENT POLYNOMIAL RING, II.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 61. ISSUE 4. P. 1111 -1130 9 100% 0
4 KAUTA, JS , (2012) ON A CLASS OF SEMIHEREDITARY CROSSED-PRODUCT ORDERS.PACIFIC JOURNAL OF MATHEMATICS. VOL. 259. ISSUE 2. P. 349-360 8 100% 0
5 WILSON, CJ , (2016) CONSTRUCTING THE HEREDITARY CROSSED PRODUCT ORDER CONTAINING A GIVEN WEAK CROSSED PRODUCT ORDER AND A CRITERION FOR WEAKNESS.JOURNAL OF ALGEBRA AND ITS APPLICATIONS. VOL. 15. ISSUE 6. P. - 7 100% 0
6 HALIMI, NH , (2005) EXTREMAL ORDERS INSIDE SIMPLE ARTINIAN RINGS.IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE. VOL. 29. ISSUE A3. P. 411 -420 10 91% 0
7 DUMAS, F , (1992) SKEW POWER-SERIES RINGS WITH GENERAL COMMUTATION FORMULA.THEORETICAL COMPUTER SCIENCE. VOL. 98. ISSUE 1. P. 99-114 16 89% 1
8 GRATER, J , (2009) ON EXTENDING PRUFER RINGS IN CENTRAL SIMPLE ALGEBRAS.FORUM MATHEMATICUM. VOL. 21. ISSUE 1. P. 131 -145 8 100% 0
9 HALIMI, NH , (2013) RIGHT P-COMPARABLE SEMIGROUPS.COMMUNICATIONS IN ALGEBRA. VOL. 41. ISSUE 4. P. 1442-1457 8 89% 0
10 BRUNGS, HH , MARUBAYASHI, H , OSMANAGIC, E , (2012) PRIMES OF GAUSS EXTENSIONS OVER CROSSED PRODUCT ALGEBRAS.COMMUNICATIONS IN ALGEBRA. VOL. 40. ISSUE 6. P. 1951-1973 7 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 37520 GENERALIZED KUPISCH SERIES//OMEGA ELONGATION//OMEGA PLUS K PROJECTIVE MODULES
2 16040 WITT EQUIVALENCE//SPECIAL GROUPS//REAL PLACES
3 5075 ESSENTIAL DIMENSION//CENTRAL SIMPLE ALGEBRAS//BRAUER MANIN OBSTRUCTION
4 8421 EXCHANGE RING//CLEAN RING//ARMENDARIZ RING
5 22764 LAGUERRE PLANE//CHAIN SPACES//ABT TOPOL
6 15423 PURE INJECTIVE MODULE//PURE SEMISIMPLE RING//KRULL SCHMIDT THEOREM
7 16014 NEAR RING//MATRIX NEAR RING//FILIAL RING
8 36118 KNOT SPINNING//SIMPLE KNOT//4 KNOT
9 35315 EMBEDDING INTO MATRICES//IRREDUCIBLE NORMAL FORM//LOWER BAER RADICAL
10 34340 FEEDBACK CYCLIZATION//POLE ASSIGNABILITY//SYSTEMS OVER COMMUTATIVE RINGS

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