Elementary equivalence for the lattices of subalgebras and automorphism groups of free algebras

被引：4
|
作者：
Pinus, A. G. [1 ]
机构：
[1] Novosibirsk State Tech Univ, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
lattice of subalgebras; automorphism group; free algebra; regular variety; unar;
D O I：
10.1007/s11202-008-0066-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find an elementary equivalence criterion for the lattices of subalgebras of free algebras in regular varieties. The question is addressed of elementary equivalence for the antomorphism groups of algebras of this type.
引用
收藏
页码：692 / 695
页数：4
相关论文
共 50 条
  • [41] Automorphism groups of some algebras
    Park, Hong Goo
    Lee, Jeongsig
    Choi, Seul Hee
    Chen XueQing
    Nam, Ki-Bong
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (02): : 323 - 328
  • [42] NONFINITARY ALGEBRAS AND THEIR AUTOMORPHISM GROUPS
    Zotov, I. N.
    Levchuk, V. M.
    SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (01) : 87 - 96
  • [43] Automorphism groups of some algebras
    PARK Hong Goo
    LEE Jeongsig
    CHOI Seul Hee
    NAM KiBong
    ScienceinChina(SeriesA:Mathematics), 2009, 52 (02) : 323 - 328
  • [44] AUTOMORPHISM GROUPS OF JORDAN ALGEBRAS
    BOBO, ER
    NAGOYA MATHEMATICAL JOURNAL, 1968, 32 (JUN) : 227 - &
  • [45] AUTOMORPHISM GROUPS OF OPERATOR ALGEBRAS
    HERMAN, RH
    PACIFIC JOURNAL OF MATHEMATICS, 1974, 52 (01) : 91 - 99
  • [46] Nonfinitary Algebras and Their Automorphism Groups
    I. N. Zotov
    V. M. Levchuk
    Siberian Mathematical Journal, 2022, 63 : 87 - 96
  • [47] AUTOMORPHISM GROUPS OF C]-ALGEBRAS
    BAESMITH, MS
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 152 (02) : 623 - &
  • [48] On automorphism groups of Hardy algebras
    Ardila, Rene
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1170 - 1183
  • [49] On automorphism groups of Hardy algebras
    Rene Ardila
    Annals of Functional Analysis, 2020, 11 : 1170 - 1183
  • [50] Free *-subalgebras of C*-algebras
    Samet-Vaillant, AY
    JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 171 (02) : 432 - 448
12345