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Relevant bibliographies by topics / Bounded endomorphisms

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Academic literature on the topic 'Bounded endomorphisms'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Bounded endomorphisms"

1

Ševčovič, Daniel. "Bounded endomorphisms of free P-algebras." Glasgow Mathematical Journal 34, no. 2 (1992): 209–14. http://dx.doi.org/10.1017/s0017089500008739.

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The present note deals with bounded endomorphisms of free p-algebras (pseudocomplemented lattices). The idea of bounded homomorphisms was introduced by R. McKenzie in [8]. T. Katriňák [5] subsequently studied the properties of bounded homomorphisms for the varieties of p-algebras. This concept is also an efficient tool for the characterization of, so-called, splitting as well as projective algebras in the varieties of all lattices or p-algebras. For details the reader is referred to [2], [5], [6], [7] and other references therein. Let us emphasize that the main results that are contained in th

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2

Feigelstock, Shalom. "Rings whose additive endomorphisms are N-multiplicative." Bulletin of the Australian Mathematical Society 39, no. 1 (1989): 11–14. http://dx.doi.org/10.1017/s0004972700027921.

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Sullivan's problem of describing rings, all of whose additive endomorphisms are multiplicative, is generalised to the study of rings R satisfying ϕ(a1 … an) = ϕ(a1)…ϕ(an) for every additive endomorphism ϕ of R, and all a1,…,an ∈ R, with n > 1 a fixed positive integer. It is shown that such rings possess a bounded (finite) ideal A such that [R/A]n = 0 ([R/A]2n−1 = 0). More generally, if f(X1, …, Xt) is a homogeneous polynomial with integer coefficients, of degree > 1, and if a ring R satisfies ϕ[f(a1, …, at)] = f[ϕ(a1), …, ϕ(at)] for all additive endomorphisms ϕ, and all a1, …, at ∈ R, th

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ABRUDAN, HOREA F. "Bounded topologies on endomorphism rings." Creative Mathematics and Informatics 20, no. 1 (2011): 1–3. http://dx.doi.org/10.37193/cmi.2011.01.06.

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We prove in this note that the ring of endomorphisms of an infinite bounded Abelian group admits a nondiscrete right bounded ring topology. We give an example of an Abelian group whose ring of endomorphisms admits both nondiscrete left and right bounded topologies but does not admit a nondiscrete bounded ring topology.

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Ghilardi, Silvio, and Luigi Santocanale. "Free Heyting algebra endomorphisms: Ruitenburg’s Theorem and beyond." Mathematical Structures in Computer Science 30, no. 6 (2020): 572–96. http://dx.doi.org/10.1017/s0960129519000203.

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AbstractRuitenburg’s Theorem says that every endomorphism f of a finitely generated free Heyting algebra is ultimately periodic if f fixes all the generators but one. More precisely, there is N ≥ 0 such that fN+2 = fN, thus the period equals 2. We give a semantic proof of this theorem, using duality techniques and bounded bisimulation ranks. By the same techniques, we tackle investigation of arbitrary endomorphisms of free algebras. We show that they are not, in general, ultimately periodic. Yet, when they are (e.g. in the case of locally finite subvarieties), the period can be explicitly boun

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Stout, Brian, and Adam Towsley. "Endomorphisms of bounded height and resultant." Journal of Number Theory 145 (December 2014): 426–32. http://dx.doi.org/10.1016/j.jnt.2014.06.006.

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ADAMS, M. E., and W. DZIOBIAK. "ENDOMORPHISMS OF DISTRIBUTIVE LATTICES WITH A QUANTIFIER." International Journal of Algebra and Computation 17, no. 07 (2007): 1349–76. http://dx.doi.org/10.1142/s0218196707004190.

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Let V be a non-trivial variety of bounded distributive lattices with a quantifier, as introduced by Cignoli in [7]. It is shown that if V does not contain the 4-element bounded Boolean lattice with a simple quantifier, then V contains non-isomorphic algebras with isomorphic endomorphism monoids, but there are always at most two such algebras. Further, it is shown that if V contains the 4-element bounded Boolean lattice with a simple quantifier, then it is finite-to-finite universal (in the categorical sense) and, as a consequence, for any monoid M, there exists a proper class of non-isomorphic

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Ardakov, Konstantin, and Oren Ben-Bassat. "Bounded linear endomorphisms of rigid analytic functions." Proceedings of the London Mathematical Society 117, no. 5 (2018): 881–900. http://dx.doi.org/10.1112/plms.12142.

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Branco, Mário J. J., Gracinda M. S. Gomes, and Pedro V. Silva. "Takahasi semigroups." Forum Mathematicum 29, no. 5 (2017): 1145–61. http://dx.doi.org/10.1515/forum-2015-0059.

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AbstractTakahasi’s Theorem on chains of subgroups of bounded rank in a free group is generalized to several classes of semigroups. As an application, it is proved that the subsemigroups of periodic points are finitely generated and periodic orbits are bounded for arbitrary endomorphisms for various semigroups. Some of these results feature classes such as completely simple semigroups, Clifford semigroups or monoids defined by balanced one-relator presentations.

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Stawiska, Małgorzata. "On regular polynomial endomorphisms of ℂ2 without bounded critical orbitswithout bounded critical orbits". Central European Journal of Mathematics 3, № 3 (2005): 398–403. http://dx.doi.org/10.2478/bf02475914.

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BARUGOLA, A., J. C. CATHALA, and C. MIRA. "EXTENSIONS OF THE NOTION OF CHAOTIC AREA IN SECOND-ORDER ENDOMORPHISMS." International Journal of Bifurcation and Chaos 05, no. 03 (1995): 751–77. http://dx.doi.org/10.1142/s0218127495000569.

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Properties of chaotic areas (i.e. invariant domains of points positively stable in the Poisson’s sense) of non-invertible maps of the plane are studied by using the method of critical curves (two-dimensional extension of the notion of critical points in the one-dimensional case). The classical situation is that of a chaotic area bounded by a finite number of critical curves segments. This paper considers another class of chaotic areas bounded by the union of critical curves segments and segments of the unstable manifold of a saddle fixed point, or that of saddle cycle (periodic point). Differe

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Book chapters on the topic "Bounded endomorphisms"

1

Alcaraz, Domingo, Dikran Dikranjan, and Manuel Sanchis. "Bowen’s Entropy for Endomorphisms of Totally Bounded Abelian Groups." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05224-3_8.

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