SYNERGY IN THE THEORIES OF GROBNER BASES AND PATH ALGEBRAS

被引：30

作者：

FARKAS, DR ^{[1
]}

FEUSTEL, CD ^{[1
]}

GREEN, EL ^{[1
]}

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1993年 / 45卷 / 04期

关键词：

D O I：

10.4153/CJM-1993-041-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general theory for Grobner basis in path algebras is introduced which extends the known theory for commutative polynomial rings and free associative algebras.

引用

页码：727 / 739

页数：13

共 15 条

[1] THE CONCEPT OF GROBNER ALGEBRAS [J].

BECKMANN, P ;

STUCKRAD, J .

JOURNAL OF SYMBOLIC COMPUTATION, 1990, 10 (05) :465-479

[2] DIAMOND LEMMA FOR RING THEORY [J].

BERGMAN, GM .

ADVANCES IN MATHEMATICS, 1978, 29 (02) :178-218

[3]

Buchberger B., 1965, THESIS U INNSBRUCK

[4]

FARKAS DR, IN PRESS ROCKY MOUNT

[5]

FEUSTEL CD, IN PRESS CONSTRUCTIN

[6]

Mora, 1988, 7 VARIATIONS STANDAR

[7]

Mora F, 1986, LNCS, V229

[8]

MORA T, GROBNER BASES WORD P

[9]

Pauer F., 1988, ENSEIGNEMENT MATH, V34, P215

[10]

RINGEL CM, 1984, LNM, V1099

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