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Title: Strong endomorphism kernel property for monounary algebras (English)
Author: Halušková, Emília
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 143
Issue: 2
Year: 2018
Pages: 161-171
Summary lang: English
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Category: math
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Summary: All monounary algebras which have strong endomorphism kernel property are described. (English)
Keyword: (strong) endomorphism
Keyword: congruence
Keyword: kernel
Keyword: connected monounary algebra
Keyword: cycle
MSC: 08A30
MSC: 08A35
MSC: 08A60
idZBL: Zbl 06890412
idMR: MR3831484
DOI: 10.21136/MB.2017.0056-16
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Date available: 2018-06-11T11:00:58Z
Last updated: 2020-07-01
Stable URL: http://hdl.handle.net/10338.dmlcz/147242
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Reference: [1] Blyth, T. S., Fang, J., Wang, L.-B.: The strong endomorphism kernel property in distributive double p-algebras.Sci. Math. Jpn. 76 (2013), 227-234. Zbl 1320.06009, MR 3330070
Reference: [2] Blyth, T. S., Silva, H. J.: The strong endomorphism kernel property in Ockham algebras.Commun. Algebra 36 (2008), 1682-1694. Zbl 1148.06005, MR 2424259, 10.1080/00927870801937240
Reference: [3] Fang, G., Fang, J.: The strong endomorphism kernel property in distributive p-algebras.Southeast Asian Bull. Math. 37 (2013), 491-497. Zbl 1299.06017, MR 3134913
Reference: [4] Fang, J., Sun, Z.-J.: Semilattices with the strong endomorphism kernel property.Algebra Univers. 70 (2013), 393-401. Zbl 1305.06004, MR 3127981, 10.1007/s00012-013-0254-z
Reference: [5] Guričan, J.: Strong endomorphism kernel property for Brouwerian algebras.JP J. Algebra Number Theory Appl. 36 (2015), 241-258. Zbl 1333.06025, 10.17654/JPANTAJun2015_241_258
Reference: [6] Guričan, J., Ploščica, M.: The strong endomorphism kernel property for modular p-algebras and for distributive lattices.Algebra Univers. 75 (2016), 243-255. Zbl 1348.06008, MR 3515400, 10.1007/s00012-016-0370-7
Reference: [7] Jakubíková-Studenovská, D., Pócs, J.: Monounary Algebras.Pavol Jozef Šafárik University, Košice (2009). Zbl 1181.08001
Reference: [8] McKenzie, R. N., McNulty, G. F., Taylor, W. F.: Algebras, Lattices, Varieties. Vol. 1.The Wadsworth & Brooks/Cole Mathematics Series. Wadsworth & Brooks/Cole Advance Books & Software XII. Monterey, California (1987). Zbl 0611.08001, MR 0883644
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