On homological properties of some module derivations on Banach algebras

  • Hülya İnceboz Adnan Menderes University
  • Berna Arslan Adnan Menderes University

Resumen

In recent years, lots of papers have been published on module amenability. In this paper, our main aim is to study the homological properties of various module derivations and prove some results about module amenability. So this paper continous a line investigation in [3], [4] for Banach algebras. 

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Biografía del autor/a

Hülya İnceboz, Adnan Menderes University

Department of Mathematics

Berna Arslan, Adnan Menderes University

Department of Mathematics

Citas

Amini, M., Module amenability for semigroup algebras, Semigroup Forum 69 (2004), 243-254.

Amini, M. and Ebrahimi Bagha, D., Weak module amenability for semigroup algebras, Semigroup Forum 71 (2005), 18–26.

Argac, N. and Albas, E., On generalized (, )-derivations, Sibirsk. Mat. Zh. 43 (2002), no. 6, 1211–1221; translation in Siberian Math. J. 43 (2002), no. 6, 977–984.

Argac, N. and Inceboz, H.G., On generalized (, )-derivations II, J. Korean Math. Soc. 47 (2010), no. 3, 495–504.

Bresar, M., On the distance of the composition of two derivations to the generalized derivations, Glasgow Math. J. 33 (1991), 89–93.

Bodaghi, A., Module (', )-amenability of Banach algebras, Archivum Mathematicum (Brno) 46 (2010), 227-235.

Bodaghi, A., Generalized notion of weak module amenability, Hacettepe J. Math. Stat. 43(1) (2014), 85–95.

Bodaghi, A. and Jabbari, A., n-weak module amenability of triangular Banach algebras, arXiv:1301.3237 (2013), 1–22.

Hamaguchi, N., Generalized d-derivations of rings without unit elements, Sci. Math. Jpn. 54 (2001), no. 2, 337–342.

Hungerford, T.W., Algebra. Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1974.

Lau, A.-M., Characterizations of amenable Banach algebras, Proc. Amer. Math. Soc. 70 (1978), no. 2, 156–160.

Mewomo, O.T., Various notions of amenability in Banach algebras., Expo. Math. 29 (2011), no. 3, 283–299.

Mosadeq, M., On weak generalized amenability of triangular Banach algebras, Journal of Mathematical Extension 8 (2014), no. 3, 27–39.

Nakajima, A., On categorical properties of generalized derivations, Sci. Math. 2 (1999), 345–352.

Nasrabadi, E. and Pourabbas, A., Module cohomology group of inverse semigroup algebras, Bull. Iran. Math. Soc. 37 (2011), no. 4, 157–169.

Pourmahmood-Aghababa, H. and Bodaghi, A., Module approximate amenability of Banach algebras, Bull. Iran. Math. Soc. 39 (2013), no. 6, 1137–1158.

Publicado
2015-07-13
Sección
Articles