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A note on generators of the endomorphism...

Dimitrova, Ilinka...

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A note on generators of the endomorphism semigroup of an infinite countable chain by Dimitrova, Ilinka ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	29-09-2015
Summary	In this note, we consider the semigroup O(X) of all order endomorphisms of an infinite chain X and the subset J of O(X) of all transformations α such that \|Im(α)\|=\|X\|. For an infinite countable chain X, we give a necessary and sufficient condition on X for O(X)=⟨J⟩ to hold. We also present a sufficient condition on X for O(X)=⟨J⟩ to hold, for an arbitrary infinite chain X.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1509.08659

Citation

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AMA 11th EditionReferences

Dimitrova, Ilinka. A note on generators of the endomorphism semigroup of an infinite countable chain. N.A. September 29, 2015. Accessed August 18, 2025. https://online.provdatabase.com/cite/11376

APA 7th EditionReferences

Dimitrova, Ilinka. (2015). A note on generators of the endomorphism semigroup of an infinite countable chain. N.A. https://online.provdatabase.com/cite/11376

Chicago 17th EditionReferences

Dimitrova, Ilinka. A note on generators of the endomorphism semigroup of an infinite countable chain. N.A. 2015. https://online.provdatabase.com/cite/11376

HarvardReferences

Dimitrova, Ilinka. (2015). A note on generators of the endomorphism semigroup of an infinite countable chain. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11376. (Accessed 18 August 2025).

Harvard AustraliaReferences

Dimitrova, Ilinka, 2015, A note on generators of the endomorphism semigroup of an infinite countable chain, N.A, viewed 18 August 2025, <https://online.provdatabase.com/cite/11376>

MLA 9th EditionWorks Cited

Dimitrova, Ilinka. A note on generators of the endomorphism semigroup of an infinite countable chain. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11376.

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