Abstract
Denote by ord(a) = ord (R,+)(a) the (group) order of an element a in a ring R. If there is a m ∈ ℕ* such that ma = 0, ∀a ∈ R then we denote by char(R) the smallest positive integer (if it exists) having this property (i.e. all elements are of finite order and ord(a) divides char(R)). In the remaining case (i.e. there are elements of infinite order or {ord(a)|a ∈ R} is not bounded) we say that char(R) = 0.
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© 1998 Springer Science+Business Media Dordrecht
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Cǎlugǎreanu, G., Hamburg, P. (1998). Characteristics. In: Exercises in Basic Ring Theory. Kluwer Texts in the Mathematical Sciences, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9004-4_5
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DOI: https://doi.org/10.1007/978-94-015-9004-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4985-8
Online ISBN: 978-94-015-9004-4
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