Resolutions for free partially commutative monoids

被引:5
作者
Polyakova, L. Yu. [1 ]
机构
[1] Kharkov Natl Univ, Kharkov, Ukraine
关键词
monoid homology; free partially commutative monoid; free resolution; homological dimension;
D O I
10.1007/s11202-007-0106-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct a free resolution for a free partially commutative monoid and, using this resolution, estimate the homological dimension of the monoid.
引用
收藏
页码:1038 / 1045
页数:8
相关论文
共 9 条
  • [1] [Anonymous], 1956, HOMOLOGICAL ALGEBRA
  • [2] Brown K. S., 1982, COHOMOLOGY GROUPS
  • [3] CLIFFORD AH, 1967, ALGEBRAIC THEORY SEM, V1
  • [4] PROJECTIVE-RESOLUTIONS FOR GRAPH PRODUCTS
    COHEN, DE
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1995, 38 : 185 - 188
  • [5] Diekert V., 1997, HDB FORMAL LANGUAGES, V3, P457
  • [6] HUSAINOV AA, 2003, MATH MODELING REALTE, P23
  • [7] HUSAINOV AA, 2005, 5 INT ALG C UKR OD, P88
  • [8] LALLEMENT G, 1979, SEMIGROUPS COMBINATI
  • [9] Maclane S., 1963, HOMOLOGY