메뉴 건너뛰기




Volumn 40, Issue 3, 2005, Pages 1106-1125

Linear groupoids and the associated wreath products

Author keywords

Balanced identity; Binary tree; Boolean algebra; Identity hedron; Linear groupoid; Linear identity; Robbins axiom; Strictly balanced identity; The identity (xy)z = y(zx); Wreath product

Indexed keywords


EID: 23344448694     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2005.02.003     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 23344444640 scopus 로고
    • Balanced identities in algebras of quasigroups
    • V.D. Belousov Balanced identities in algebras of quasigroups Aequationes Math. 8 1972 1-73
    • (1972) Aequationes Math. , vol.8 , pp. 1-73
    • Belousov, V.D.1
  • 2
    • 0038382193 scopus 로고    scopus 로고
    • GAP - Groups, Algorithms, and Programming
    • The GAP Group version 4.3. Aachen, St Andrews Visit
    • The GAP Group GAP - Groups, Algorithms, and Programming, version 4.3. Aachen, St Andrews 1999 Visit http://www-gap.dcs.st-and.ac.uk/~gap
    • (1999)
  • 4
    • 1342274884 scopus 로고
    • Some functional equations related with the associative law
    • M. Hosszú Some functional equations related with the associative law Publ. Math. Debrecen 3 1954 205-214
    • (1954) Publ. Math. Debrecen , vol.3 , pp. 205-214
    • Hosszú, M.1
  • 6
    • 84968481089 scopus 로고
    • New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell's Principia Mathematica
    • E.V. Huntington New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell's Principia Mathematica Trans. Amer. Math. Soc. 35 1933 274-304
    • (1933) Trans. Amer. Math. Soc. , vol.35 , pp. 274-304
    • Huntington, E.V.1
  • 8
  • 10
    • 85013648623 scopus 로고
    • Varieties of groupoids determined by short linear identities
    • 4
    • J. Ježek T. Kepka Varieties of groupoids determined by short linear identities Czechoslovak Math. J. 39(114) 4 1989 644-658
    • (1989) Czechoslovak Math. J. , vol.39 , Issue.114 , pp. 644-658
    • Ježek, J.1    Kepka, T.2
  • 11
    • 0542395725 scopus 로고    scopus 로고
    • Linear equational theories and semimodule representations
    • J. Ježek T. Kepka Linear equational theories and semimodule representations Internat. J. Algebra Comput. 8 5 1998 599-615
    • (1998) Internat. J. Algebra Comput. , vol.8 , Issue.5 , pp. 599-615
    • Ježek, J.1    Kepka, T.2
  • 12
    • 0035648629 scopus 로고    scopus 로고
    • The equational theory of paramedial cancellation groupoids
    • 1
    • J. Ježek T. Kepka The equational theory of paramedial cancellation groupoids Czechoslovak Math. J. 50(125) 1 2000 25-34
    • (2000) Czechoslovak Math. J. , vol.50 , Issue.125 , pp. 25-34
    • Ježek, J.1    Kepka, T.2
  • 13
    • 23344454788 scopus 로고    scopus 로고
    • Some results on the up to fourth length balanced identities
    • O.U. Kirnasovsky Some results on the up to fourth length balanced identities Quasigroups Related Systems 5 1998 13-34
    • (1998) Quasigroups Related Systems , vol.5 , pp. 13-34
    • Kirnasovsky, O.U.1
  • 14
    • 84963178164 scopus 로고
    • Rings with x(yz) = z(yx)
    • M.H. Kleinfeld Rings with x(yz) = z(yx) Comm. Algebra 6 1978 1369-1373
    • (1978) Comm. Algebra , vol.6 , pp. 1369-1373
    • Kleinfeld, M.H.1
  • 15
    • 23344439557 scopus 로고    scopus 로고
    • The New York Times, December 10 1996 Available electronically at
    • G. Kolata Computer Math Proof Shows Reasoning Power. The New York Times, December 10 1996 Available electronically at http://www.nytimes.com/library/cyber/week/1210math.html
    • Computer Math Proof Shows Reasoning Power
    • Kolata, G.1
  • 16
    • 0031378630 scopus 로고    scopus 로고
    • Solution of the Robbins problem
    • W.W. McCune Solution of the Robbins problem J. Automat. Reason. 19 3 1997 263-276
    • (1997) J. Automat. Reason. , vol.19 , Issue.3 , pp. 263-276
    • McCune, W.W.1
  • 17
    • 23344445679 scopus 로고    scopus 로고
    • Mace4 and OTTER
    • Argonne National Laboratory Available at
    • W.W. McCune Mace4 and OTTER, Argonne National Laboratory 2003 Available at http://www-unix.mcs.anl.gov/AR
    • (2003)
    • McCune, W.W.1
  • 18
    • 23344453328 scopus 로고    scopus 로고
    • See Otter digging for algebraic pearls
    • J.D. Phillips See Otter digging for algebraic pearls Quasigroups Related Systems 10 2003 95-114
    • (2003) Quasigroups Related Systems , vol.10 , pp. 95-114
    • Phillips, J.D.1
  • 19
    • 23344450420 scopus 로고    scopus 로고
    • GAP library for wreath products associatied with linear identities
    • Available electronically at in section research computing
    • J.D. Phillips P. Vojtěchovský GAP library for wreath products associatied with linear identities 2004 Available electronically at http://www.math.du.edu/~petr in section research computing
    • (2004)
    • Phillips, J.D.1    Vojtěchovský, P.2
  • 20
    • 23344448098 scopus 로고    scopus 로고
    • What is ...an Operad?
    • J. Stasheff What is ...an Operad? Notices Amer. Math. Soc. 51 6 2004 630-631
    • (2004) Notices Amer. Math. Soc. , vol.51 , Issue.6 , pp. 630-631
    • Stasheff, J.1
  • 21
    • 84976741234 scopus 로고
    • A unification algorithm for associative-commutative functions
    • M. Stickel A unification algorithm for associative-commutative functions J. ACM 28 3 1981 423-434
    • (1981) J. ACM , vol.28 , Issue.3 , pp. 423-434
    • Stickel, M.1
  • 22
    • 0006763236 scopus 로고
    • Ringe mit x(yz) = (yx)z
    • A. Thedy Ringe mit x(yz) = (yx) z Math. Z. 99 1967 400-404
    • (1967) Math. Z. , vol.99 , pp. 400-404
    • Thedy, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.