Abstract
In this section we construct the ring of quotients of regular functions. We begin by presenting the definition of regular reciprocal of f, which involves the operations of regular conjugation and symmetrization presented in Sect. 1.4.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P.M. Cohn, Skew fields: Theory of general division rings. Encyclopedia of Mathematics and Its Applications, vol. 57 (Cambridge University Press, Cambridge, 1995)
T.Y. Lam, Lectures on modules and rings. Graduate Texts in Mathematics, vol. 189 (Springer, New York, 1999)
L.H. Rowen, Ring Theory, student edn. (Academic, Boston, 1991)
C. Stoppato, Poles of regular quaternionic functions. Complex Var. Elliptic Equat. 54(11), 1001–1018 (2009)
C. Stoppato, Regular functions of one quaternionic variable. Ph.D. thesis, advisor G. Gentili, Università degli Studi di Firenze, 2010
C. Stoppato, Regular Moebius transformations of the space of quaternions. Ann. Global Anal. Geom. 39(4) 387–401 (2011)
C. Stoppato, Singularities of slice regular functions. Math. Nachr. 285(10), 1274–1293 (2012)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gentili, G., Stoppato, C., Struppa, D.C. (2013). Singularities. In: Regular Functions of a Quaternionic Variable. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33871-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-33871-7_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33870-0
Online ISBN: 978-3-642-33871-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)