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Abstrakty
We prove new characterizations of tilted and double tilted actin algebras, forming crucial classes of actin algebras with small homological dimensions.
Wydawca
Rocznik
Tom
Strony
77--87
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
- Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland, skowron@mat.uni.torun.pl
Bibliografia
- [1] M. Auslander, I. Reiten, S. O. Smalø, Representation theory of artin algebras, Cambridge Stud. Adv. Math., 36, Cambridge Univ. Press., Cambridge 1995.
- [2] K. Bongartz, Tilted algebras in: Representations of algebras, Lecture Notes in Math., 903, Springer-Verlag, Berlin Heidelberg (1981) 26-38.
- [3] F. U. Coelho, M. Lanzilotta, Algebras with small homological dimension Manuscr. Math., 100 (1999) 1-11.
- [4] F. U. Coelho, A. Skowroński, On Auslander-Reiten components for quasitilted algebras, Fund. Math., 143 (1996) 67-82.
- [5] D. Happel, I. Reiten, S. O. Smalø, Tilting in abelian categories and quasitilted algebras. Memo. Amer. Math. Soc., 575 (1996).
- [6] D. Happel, C. M. Ringel, Tilted algebras, Trans. Amer. Math. Soc., 274 (1982) 399-443.
- [7] S. Liu, Tilted algebras and generalized standard Auslander-Reiten components, Arch. Math., 61 (1993) 12-19.
- [8] L. Peng, J. Xiao, On the number of DTr-orbits containing directing modules, Proc. Amer. Math. Soc., 118 (1993) 753-756.
- [9] I. Reiten, A. Skowroński, Characterizations of algebras with small homological dimensions, Adv. Math., to be published.
- [10] I. Reiten, A. Skowroński, S. O. Smalø, Short chains and short cycles of modules, Proc. Amer. Math. Soc., 117 (1993) 343-354.
- [11] C. M. Ringel, Tame algebras and integral quadratic forms, Lecture Notes in Math., 1099. Springer-Verlag, Berlin Heidelberg 1984.
- [12] C. M. Ringel, The canonical algebras, in: Topics in Algebra, Banach Center Publications, 26 (Part 1), PWN, Warszawa (1990) 407-432.
- [13] D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Algebra, Logic and Applications, 4, Gordon and Breach Science Publishers, Amsterdam 1992.
- [14] A. Skowroński, Generalized standard Auslander-Reiten components without oriented cycles. Osaka J. Math., 30 (1993) 515-527.
- [15] A. Skowroński, Regular Auslander-Reiten components containing directing modules, Proc. Amer. Math. Soc., 120 (1994) 19-26.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-0360