본문 바로가기
KERD
논문KCI 등재

ALMOST SPLIT SEQUENCES FOR COMPLEXES VIA RELATIVE HOMOLOGY

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We use methods of relative homological algebra on the category C(modΛ), of complexes of finitely generated modules over an artin algebra Λ, to give some characterizations of almost split sequences.

Abstract

We use methods of relative homological algebra on the category C(modΛ), of complexes of finitely generated modules over an artin algebra Λ, to give some characterizations of almost split sequences.

참고문헌 (22)

  1. I. Assem, "Elements of the Representation Theory of Associative Algebras Vol. I", London Mathematical Society Student Texts, 65 (2006), Cambridge University Press
  2. M. Auslander, "Comments on the functor Ext", Topology, 8, pp.151~166 (1969)
  3. M. Auslander, "Representation theory of Artin algebras. III. Almost split sequences", Comm. Algebra, 3(3), pp.239~294 (1975)
  4. M. Auslander, "Representation Theory of Artin Algebras" (1995), Cambridge Univ. Press
  5. M. Auslander, "Almost split sequences in subcategories", J. Algebra, 69(2), pp.426~454 (1981)
  6. M. Auslander, "Relative homology and representation theory I. Relative homology and homologically finite subcategories", Comm. Algebra, 21(9), pp.2995~3031 (1993)
  7. R. Bautista, "Almost split sequences of complexes of fixed size", J. Algebra, 287(1), pp.140~168 (2005)
  8. P. Dr¨axler, "Exact categories and vector space categories", Trans. Amer. Math. Soc, 351(2), pp.647~682 (1999)
  9. E. E. Enochs, "Cartan-Eilenberg complexes and resolutions", J. Algebra, 342, pp.16~39 (2011)
  10. P. Gabriel, "Representations of finite dimensional algebras, In Algebra VIII", Encyclopaedia Math. Sci, 73 (1992), Springer
  11. D. Happel, "On the derived category of a finite dimensional algebras", Comment. Math. Helv, 63(3), pp.339~389 (1987)
  12. D. Happel, "Triangulated categories in the representation theory of finite dimensional al-gebras", London Math. Soc. Lecture Note Series, 119 (1988), Cambridge University Press
  13. P. Jorgensen, "Auslander-Reiten triangles in subcategories", J. K-Theory, 3(3), pp.583~601 (2009)
  14. M. Kleiner, "Approximations and almost split sequences in homologically finite subcate-gories", J. Algebra, 198(1), pp.135~163 (1997)
  15. H. Krause, "The Auslander-Reiten formula for complexes of modules", Avd. Math, 207(1), pp.133~148 (2006)
  16. H. Lenzing, "Auslander-Reiten duality for abelian categories", Bol. Soc. Mat. Mexicana, 10(2), pp.169~177 (2004)
  17. S. Liu, "Almost split sequences and approximations", Algebr. Represent. Theory, 16(6), pp.1809~1827 (2013)
  18. P. Ng, "Existence of Auslander-Reiten sequences in subcategories", J. Pure Appl. Algebra, 215(10), pp.2378~2384 (2011)
  19. S. Salarian, "Almost split sequences in the category of complexes of modules", J. Algebra Appl, 14(3), pp.15~ (2015)
  20. J.-L. Verdier, "Des cat´egories d´eriv´ees des cat´egories ab´eliennes", Ast´erisque, 239, pp.253~ (1996)
  21. P. Zhang, "Monomorphism categories, cotilting theory, and Gorenstein-projective mod-ules", J. Algebra, 339, pp.181~202 (2011)
  22. X. Zhang, "On F-almost split sequences", Acta Math. Sin. (Engl. Ser.), 26(6), pp.1149~1164 (2010)

관련 논문AI추천

이 간행물의 다른 논문 (13건)