Regularity Conditions for Arbitrary Leavitt Path Algebras

Algebras and Representation Theory - Tập 13 Số 3 - Trang 319-334 - 2010
Gene Abrams1, Kulumani M. Rangaswamy1
1University of Colorado at Colorado Springs

Tóm tắt

Từ khóa


Tài liệu tham khảo

Abrams, G., Ánh, P.N., Louly, A., Pardo, E.: The classification question for Leavitt path algebras. J. Algebra 320, 1983–1026 (2008) ArXiV: 0706.3874

Abrams, G., Aranda Pino, G.: The Leavitt path algebra of arbitrary graphs. Houston J. Math. 34(2), 23–442 (2008)

Abrams, G., Aranda Pino, G., Siles Molina, M.: Finite-dimensional Leavitt path algebras. J. Pure Appl. Algebra 209(3), 753–762 (2007)

Ánh, P.N., Márki, L.: Morita equivalence for rings without identity. Tsukuba J. Math. 11(1), 1–16 (1987)

Ara, P., Moreno, M.A., Pardo, E.:, Nonstable K-Theory for graph algebras. Algebra Represent. Theory 10(2), 157–178 (2007)

Camillo, V., Khurana, D.: A characterization of unit regular rings. Comm. Algebra 29(5), 2293–2295 (2001)

Camillo, V., Yu, H.-P.: Stable range one for rings with many idempotents. Trans. Amer. Math. Soc. 347(8), 3141–3147 (1995)

Goodearl, K.: Leavitt path algebras and direct limits. In: Dung, Guerriero, Hammoudi, Kanwar (eds.) ContemporaryMathematics: Rings, Modules and Representations, pp. 165–188. American Mathematical Society, Providence, R.I. ISBN-10: 0-8218-4370-2 (2009) ArXiV:0712.2554v1

Goodearl, K.: Von Neumann Regular Rings. Krieger, Malabar, FL (1991). ISBN 0-89464-632-X

Kaplansky, I: Topological representation of algebras. II. Trans. Amer. Math. Soc. 68(1), 62–75 (1950)

Nicholson, W.K, Zhou, Y.: Clean Rings: a survey. In: Advances in Ring Theory: Proceedings of the 4th China-Japan-Korea International Conference, pp. 181–198. World Sci., Hackensack, N.J., ISBN: 981-256-425-X (2005)

Rowen, L.: Examples of semiperfect rings. Israel J. Math. 65(3), 273–283 (1989)

Raeburn, I., Szymański, W.: Cuntz–Krieger algebras of infinite graphs and matrices. Trans. Amer. Math. Soc. 356(1), 39–59 (2003)