Minimal bipartite algebras of infinite prinjective type with prin-preprojective component
Kasjan, Stanisław
Colloquium Mathematicae, Tome 78 (1998), p. 295-317 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210567
@article{bwmeta1.element.bwnjournal-article-cmv76z2p295bwm,
     author = {Stanis\l aw Kasjan},
     title = {Minimal bipartite algebras of infinite prinjective type with prin-preprojective component},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {295-317},
     zbl = {0912.16007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv76z2p295bwm}
}
Kasjan, Stanisław. Minimal bipartite algebras of infinite prinjective type with prin-preprojective component. Colloquium Mathematicae, Tome 78 (1998) pp. 295-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv76z2p295bwm/

[000] [1] M. Auslander, I. Reiten and S. Smalο, Representation Theory of Artin Algebras, Cambridge Stud. Adv. Math. 36, Cambridge Univ. Press, 1995.

[001] [2] K. Bongartz, Algebras and quadratic forms, J. London Math. Soc. 28 (1983), 461-469. | Zbl 0532.16020

[002] [3] K. Bongartz, Critical simply connected algebras, Manuscripta Math. 46 (1984), 177-136. | Zbl 0537.16024

[003] [4] D Yu. A. Drozd, Matrix problems and the category of matrices, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 28 (1978), 144-153 (in Russian).

[004] [5] D. Happel and D. Vossieck, Minimal algebras of infinite representation type with preprojective component, Manuscripta Math. 42 (1983), 221-243. | Zbl 0516.16023

[005] [6] H.-J. von Höhne, On weakly non-negative unit forms and tame algebras, Proc. London Math. Soc. 73 (1996), 47-67. | Zbl 0869.16011

[006] [7] H.-J. von Höhne and D. Simson, Bipartite posets of finite prinjective type, J. Algebra (1998), in press. | Zbl 0921.16004

[007] [8] S. Kasjan, On prinjective modules, tameness and Tits form, Bull. Polish Acad. Sci. Math. 41 (1993), 327-341. | Zbl 0810.16014

[008] [9] S. Kasjan and D. Simson, Fully wild prinjective type of posets and their quadratic forms, J. Algebra 172 (1995), 506-529. | Zbl 0831.16010

[009] [10] O S. A. Ovsienko, Integral weakly positive unit forms, in: Schur Matrix Problems and Quadratic Forms, Kiev, 1978, 3-17 (in Russian).

[010] [11] J. A. de la Pe na, Quadratic forms and the representation type of an algebra, SFB 343, Diskrete Strukturen in der Mathematik, preprint 90-003, Bielefeld, 1990.

[011] [12] J. A. de la Pe na, Coxeter transformations and the representation theory of algebras, in: Finite-Dimensional Algebras and Related Topics, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 424, 1994, 223-253.

[012] [13] J. A. de la Pena and D. Simson, Prinjective modules, reflection functors, quadratic forms, and Auslander-Reiten sequences, Trans. Amer. Math. Soc. 329 (1992), 733-753. | Zbl 0789.16010

[013] [14] C. M. Ringel, Representations of K-species and bimodules, J. Algebra 41 (1976), 269-302. | Zbl 0338.16011

[014] [15] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.

[015] [16] C. M. Ringel, The spectral radius of the Coxeter transformations for a generalized Cartan matrix, Math. Ann. 300 (1994), 331-339. | Zbl 0819.15008

[016] [17] D. Simson, Moduled categories and adjusted modules over traced rings, Dissertationes Math. 269 (1990).

[017] [18] D. Simson, Linear Representations of Partially Ordered Sets and Vector Space Categories, Algebra Logic Appl. 4, Gordon and Breach, 1992. | Zbl 0818.16009

[018] [19] D. Simson, Posets of finite prinjective type and a class of orders, J. Pure Appl. Algebra 90 (1993), 77-103. | Zbl 0815.16006

[019] [20] D. Simson, Representation embedding problems, categories of extensions and prinjective modules, in: Proc. Seventh Internat. Conf. on Representations of Algebras, Canad. Math. Soc. Conf. Proc. 18, 1996, 601-639. | Zbl 0929.16014

[020] [21] D. Simson, Prinjective modules, propartite modules, representations of bocses and lattices over orders, J. Math. Soc. Japan 49 (1997), 31-68. | Zbl 0937.16019

[021] [22] D. Simson, Three-partite subamalgams of tiled orders of finite lattice type, J. Pure Appl. Algebra (1998), in press. | Zbl 0928.16014

[022] [23] A. Skowroński, Generalized standard Auslander-Reiten components, J. Math. Soc. Japan 46 (1994), 518-543. | Zbl 0828.16011

[023] [24] D. Vossieck, Représentations de bifoncteurs et interprétations en termes de modules, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), 713-716. | Zbl 0661.16025

[024] [25] T. Weichert, Darstellungstheorie von Algebren mit projektivem Sockel, Doctoral thesis, Universität Stuttgart, 1989. | Zbl 0677.16017