Mathematica Bohemica, online first, 11 pp.

Strong endomorphism kernel property for monounary algebras

Emília Halušková

Received May 27, 2016.   First published June 12, 2017.

Emília Halušková, Mathematical Institute, Slovak Academy of Sciences, Grešákova 1389/6, 040 01 Košice, Slovak Republic, e-mail:

Abstract: All monounary algebras which have strong endomorphism kernel property are described.

Keywords: (strong) endomorphism; congruence; kernel; connected monounary algebra; cycle

Classification (MSC 2010): 08A30, 08A35, 08A60

DOI: 10.21136/MB.2017.0056-16

Full text available as PDF.

  [1] T. S. Blyth, J. Fang, L.-B. Wang: The strong endomorphism kernel property in distributive double p-algebras. Sci. Math. Jpn. 76 (2013), 227-234. MR 3330070 | Zbl 1320.06009
  [2] T. S. Blyth, H. J. Silva: The strong endomorphism kernel property in Ockham algebras. Commun. Algebra 36 (2008), 1682-1694. DOI 10.1080/00927870801937240 | MR 2424259 | Zbl 1148.06005
  [3] G. Fang, J. Fang: The strong endomorphism kernel property in distributive p-algebras. Southeast Asian Bull. Math. 37 (2013), 491-497. MR 3134913 | Zbl 1299.06017
  [4] J. Fang, Z.-J. Sun: Semilattices with the strong endomorphism kernel property. Algebra Univers. 70 (2013), 393-401. DOI 10.1007/s00012-013-0254-z | MR 3127981 | Zbl 1305.06004
  [5] J. Guričan: Strong endomorphism kernel property for Brouwerian algebras. JP J. Algebra Number Theory Appl. 36 (2015), 241-258. DOI 10.17654/JPANTAJun2015_241_258 | Zbl 1333.06025
  [6] J. Guričan, M. Ploščica: The strong endomorphism kernel property for modular p-algebras and for distributive lattices. Algebra Univers. 75 (2016), 243-255. DOI 10.1007/s00012-016-0370-7 | MR 3515400 | Zbl 1348.06008
  [7] D. Jakubíková-Studenovská, J. Pócs: Monounary Algebras. Pavol Jozef Šafárik University, Košice (2009). Zbl 1181.08001
  [8] R. N. McKenzie, G. F. McNulty, W. F. Taylor: Algebras, Lattices, Varieties. Vol. 1. The Wadsworth & Brooks/Cole Mathematics Series. Wadsworth & Brooks/Cole Advance Books & Software XII. Monterey, California (1987). MR 0883644 | Zbl 0611.08001

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