Algebraic entropy of shift endomorphisms on abelian groups

Quaestiones Mathematicae

Volumn 32, Issue 4, 2009, Pages 529-550

  Akhavin, Maryam ^a   Dikranjan, Dikran ^b   Bruno, Anna Giordano ^b   Hosseini, Arezoo ^c   Shirazi, Fatemah Ayatollah Zadeh ^d  

^a KHARAZMI UNIVERSITY   (Iran)

^b UNIVERSITY OF UDINE   (Italy)

^c UNIVERSITY OF GUILAN   (Iran)

^d UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Abelian group; Algebraic entropy; Generalized shift; Shift; Trajectory

Indexed keywords

EID: 76349121331     PISSN: 16073606     EISSN: None     Source Type: Journal    
DOI: 10.2989/QM.2009.32.4.3.961     Document Type: Article

References (8)

1. R.L. Adler, A.G. Konheim and M.H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309-319.
2. M.F. Atiyah and I.G. MacDonald, Introduction to commutative algebra, Addison- Wesley Publishing Co., Reading, Massachusetts, 1969.
3. F. Ayatollah Zadeh Shirazi, N. Karami Kabir and F. Heydari Ardi, A note on shift theory, Math. Pannon. 19(2) (2008), 187-195.
4. D. Dikranjan, B. Goldsmith, L. Salce and P. Zanardo, Algebraic entropy for abelian groups, Trans. Amer. Math. Soc. 361 (2009), 3401-3434.
5. D. Dikranjan, A. Giordano Bruno and S. Virili, Strings of group endomorphisms, preprint.
6. A. Giordano Bruno, Algebraic entropy of generalized shifts on direct products, Communications in Algebra, to appear.
7. J. König, Zum Kontinuumproblem, Mathematische Annalen 60 (1904), 177-180.
8. M.D. Weiss, Algebraic and other entropies of group endomorphisms, Math. Systems Theory 8(3) (1974/75), 243-248.