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Volumn 254, Issue 2, 2002, Pages 279-299

Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

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EID: 0037104694     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00081-9     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 0004198296 scopus 로고
    • Springer-Verlag, New York Chapters 1-3
    • N. Bourbaki, in: Algebra, Vol. I, Springer-Verlag, New York, 1989, Chapters 1-3
    • (1989) Algebra , vol.1
    • Bourbaki, N.1
  • 2
    • 0011599831 scopus 로고    scopus 로고
    • Noncommutative algebras associated to complexes and graphs
    • I. Gelfand, S. Gelfand, V. Retakh, Noncommutative algebras associated to complexes and graphs, Selecta Math. 7 (2001) 525- 531
    • (2001) Selecta Math , vol.7 , pp. 525-531
    • Gelfand, I.1    Gelfand, S.2    Retakh, V.3
  • 4
    • 0002623668 scopus 로고
    • Determinants of matrices over noncommutative rings
    • I. Gelfand, V. Retakh, Determinants of matrices over noncommutative rings, Funct. Anal. Appl. 25 (2) (1991) 91-102
    • (1991) Funct. Anal. Appl , vol.25 , Issue.2 , pp. 91-102
    • Gelfand, I.1    Retakh, V.2
  • 5
    • 34249837410 scopus 로고
    • A theory of noncommutative determinants and characteristic functions of graphs
    • I. Gelfand, V. Retakh, A theory of noncommutative determinants and characteristic functions of graphs, Funct. Anal. Appl. 26 (4) (1992) 1-20
    • (1992) Funct. Anal. Appl , vol.26 , Issue.4 , pp. 1-20
    • Gelfand, I.1    Retakh, V.2
  • 6
    • 32044469348 scopus 로고    scopus 로고
    • Noncommutative Vieta theorem and symmetric functions
    • Birkhäuser, Boston
    • I. Gelfand, V. Retakh, Noncommutative Vieta theorem and symmetric functions, in: Gelfand Math. Sem. 1993-95, Birkhäuser, Boston, 1996
    • (1996) Gelfand Math. Sem , pp. 1993-1995
    • Gelfand, I.1    Retakh, V.2
  • 7
    • 0003190675 scopus 로고
    • A theory of noncommutative determinants and characteristic functions of graphs. I
    • Publ. LACIM, UQAM
    • I. Gelfand, V. Retakh, A theory of noncommutative determinants and characteristic functions of graphs. I, in: Publ. LACIM, UQAM, Vol. 14, 1993, pp. 1-26
    • (1993) , vol.14 , pp. 1-26
    • Gelfand, I.1    Retakh, V.2
  • 8
    • 53249123414 scopus 로고    scopus 로고
    • Quasideterminants, I
    • I. Gelfand, V. Retakh, Quasideterminants, I, Selecta Math. 3 (1997) 417-546
    • (1997) Selecta Math , vol.3 , pp. 417-546
    • Gelfand, I.1    Retakh, V.2
  • 9
    • 52549093774 scopus 로고    scopus 로고
    • Quadratic-linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials
    • I. Gelland, V. Retakh, R.L. Wilson, Quadratic-linear algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials, Selecta Math. 7 (2001) 493-523
    • (2001) Selecta Math , vol.7 , pp. 493-523
    • Gelland, I.1    Retakh, V.2    Wilson, R.L.3
  • 10
    • 0003713177 scopus 로고
    • A First Course in Noncommutative Rings
    • Springer-Verlag, New York
    • T.Y. Lam, A First Course in Noncommutative Rings, Springer-Verlag, New York, 1991
    • (1991)
    • Lam, T.Y.1
  • 11
    • 0001072553 scopus 로고
    • Theory of non-commutative polynomials
    • ll 0. Ore, Theory of non-commutative polynomials, Ann. of Math. 34 (1933) 480-508
    • (1933) Ann. of Math , vol.34 , pp. 480-508
    • Ore, O.1
  • 12
    • 34249759185 scopus 로고
    • The correspondence between Hilbert series of quadratically dual algebras does not imply their having the Koszul property
    • L. Positselski, The correspondence between Hilbert series of quadratically dual algebras does not imply their having the Koszu] property, Funct. Anal. Appl. 29 (3) (1995) 213-217
    • (1995) Funct. Anal. Appl , vol.29 , Issue.3 , pp. 213-217
    • Positselski, L.1
  • 13
    • 0002286968 scopus 로고
    • On the characterization of Koszul algebras. Four counter-examples
    • J.-E. Roos, On the characterization of Koszul algebras. Four counter-examples, C.R. Acad. Sci. Paris Ser. I 321 (1995) 15-20
    • (1995) C.R. Acad. Sci. Paris Ser. I , vol.321 , pp. 15-20
    • Roos, J.-E.1
  • 14
    • 0002547755 scopus 로고
    • Combinatorial and asymptotic methods in algebra
    • A.I. Kostrikin, I.R. Shafarevich (Eds.), in: Springer-Verlag, New York
    • V.A. Ufnarovskij, Combinatorial and asymptotic methods in algebra, in: A.I. Kostrikin, I.R. Shafarevich (Eds.), in: Algebra, Vol. VI, Springer-Verlag, New York, 1995, pp. 1-196
    • (1995) Algebra , vol.6 , pp. 1-196
    • Ufnarovskij, V.A.1
  • 15
    • 52549088633 scopus 로고    scopus 로고
    • Invariant polynomials in the free skew field
    • R.L. Wilson, Invariant polynomials in the free skew field, Selecta Math. 7 (2001) 565-586
    • (2001) Selecta Math , vol.7 , pp. 565-586
    • Wilson, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.