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Some results on certain types of Putcha semigroups

  • Roman S. GigoĹ„
Published/Copyright: June 11, 2022
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 72 Issue 3

Abstract

We shall prove a variety of results on certain types of Putcha semigroups such as: left weakly commutative semigroups, 𝓡-commutative semigroups, 𝓡𝓒-commutative semigroups, generalized conditionally commutative semigroups.

MSC 2010: Primary 20M10
Keywords: Putcha semigroup; left weakly commutative semigroup; 𝓡-commutative semigroup; generalized conditionally commutative semigroup; 𝓡𝓒-commutative semigroup

  1. (Communicated by Miroslav Ploščica)

References

[1] Alam, N.—Higgins, P. M.—Khan, N. M.: Epimorphisms, dominions and 𝓗-commutative semigroups, Semigroup Forum 100 (2020), 349–363.10.1007/s00233-019-10050-zSearch in Google Scholar

[2] Bogdanović, S.—Ćirić, M.: Decompositions of semigroups induced by identities, Semigroup Forum 46 (1993), 329–346.10.1007/BF02573576Search in Google Scholar

[3] Bogdanović, S.—Ćirić, M.: Retractive nil-extensions of regular semigroups II, Proc. Japan Acad. 68 (1992), 126–130.10.3792/pjaa.68.126Search in Google Scholar

[4] Bogdanović, S.—Ćirić, M.: A nil-extension of a regular semigroup, Glas. Mat. 25(2) (1991), 3–23.Search in Google Scholar

[5] Clifford, A. H.—Preston, G. B.: The Algebraic Theory of Semigroups, Vol. 1, American Mathematical Society, Providence, RI, 1961.10.1090/surv/007.1/01Search in Google Scholar

[6] Clifford, A. H.: The structure of orthodox unions of groups, Semigroup Forum 3 (1972), 283–337.10.1007/BF02572970Search in Google Scholar

[7] Edwards, P. M.: Maximizing a congruence with respect to its partition of idempotents, Semigroup Forum 39 (1989), 257–262.10.1007/BF02573301Search in Google Scholar

[8] Gigoń, R. S.: Bands of E-inversive unipotent semigroups, Bull. Malays. Math. Sci. Soc. 43 (2020), 2861–2874.10.1007/s40840-019-00835-4Search in Google Scholar

[9] Gigoń, R. S.: E-inversive semigroups with a completely simple kernel, Comm. Algebra 46 (2018), 4884–4890.10.1080/00927872.2018.1459642Search in Google Scholar

[10] Gluskin, L. M.: Separative semigroups, Izv. Vyss. Ucebn. Zaved. Mat. 9 (1971), 30–39 (in Russian).Search in Google Scholar

[11] Hall, T. E.: On regular semigroups, J. Algebra 24 (1973), 1–24.10.1016/0021-8693(73)90150-6Search in Google Scholar

[12] Howie, J. M.: Fundamentals of Semigroup Theory, Oxford University Press, New York, 1995.10.1093/oso/9780198511946.001.0001Search in Google Scholar

[13] Nagy, A: Regular 𝓡𝓖𝓒n-commutative semigroups, Sci. Iran. 12(1) (2005), 10–13.Search in Google Scholar

[14] Nagy, A: Special Classes of Semigroups, Kluwer Acad. Publ., Dordrecht, The Netherlands, 2001.10.1007/978-1-4757-3316-7Search in Google Scholar

[15] Nordahl, T. E.: On permutative semigroup algebras, Algebra Universalis 25 (1988), 322–333.10.1007/BF01229980Search in Google Scholar

[16] Petrich, M: Lectures in Semigroups, Akademie-Verlag-Berlin, 1977.10.1515/9783112471326Search in Google Scholar

[17] Pondělíček, B.: On generalized conditionally commutative semigroups, Math. Slovaca 4 (1994), 359–364.Search in Google Scholar

[18] Putcha, M. S.—Yaqub, A.: Semigroups satisfying permutation identities, Semigroup Forum 3 (1971), 68–73.10.1007/BF02572944Search in Google Scholar

[19] Sedlock, T.: Green’s relations on a periodic semigroup, Czechoslovak Math. J. 19(2) (1969), 318–323.10.21136/CMJ.1969.100898Search in Google Scholar
Received: 2020-10-09
Accepted: 2021-06-25
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

  1. Regular Papers
  2. The poset of morphism-extension classes of countable graphs
  3. Characterization of monadic BL-algebras by state operators
  4. Comments on efficient batch verification test for digital signatures based on elliptic curves
  5. On necessary and sufficient conditions for the monogeneity of a certain class of polynomials
  6. An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers
  7. Some results on certain types of Putcha semigroups
  8. Inner functions in QK spaces and multipliers
  9. Certain subclasses of meromorphic multivalent q-starlike and q-convex functions
  10. Algebraic dependences of meromorphic mappings into a projective space sharing few hyperplanes
  11. Unbounded oscillation criteria for fourth order neutral differential equations of non-canonical type
  12. Existence of radial solutions for a weighted p-biharmonic problem with navier boundary condition on the Heisenberg group
  13. Intuitionistic fuzzy Tribonacci I-convergent sequence spaces
  14. Lipschitz class functions and their general Fourier coefficients
  15. Spectra and fine spectra of the generalized upper difference operator with triple repetition Δ3ab on the Hahn sequence space
  16. A Topological sphere theorem for contact CR-warped product submanifolds of an odd-dimensional unit sphere
  17. An extended type I half-logistic family of distributions: Properties, applications and different method of estimations
  18. On the Unit-Chen distribution with associated quantile regression and applications
  19. A note on LĂ©vy subordinators in cones of fuzzy sets in Banach spaces
  20. Uniformly asymptotic normality of the weighted estimator in nonparametric regression model with φ-mixing errors
  21. Upper bound for variance of finite mixtures of power exponential distributions
  22. The dimension Dind of finite topological T0-spaces
https://doi.org/10.1515/ms-2022-0041
Keywords for this article
Putcha semigroup; left weakly commutative semigroup; 𝓡-commutative semigroup; generalized conditionally commutative semigroup; 𝓡𝓒-commutative semigroup

Articles in the same Issue

  1. Regular Papers
  2. The poset of morphism-extension classes of countable graphs
  3. Characterization of monadic BL-algebras by state operators
  4. Comments on efficient batch verification test for digital signatures based on elliptic curves
  5. On necessary and sufficient conditions for the monogeneity of a certain class of polynomials
  6. An exponential Diophantine equation involving the sum or difference of powers of two Pell numbers
  7. Some results on certain types of Putcha semigroups
  8. Inner functions in QK spaces and multipliers
  9. Certain subclasses of meromorphic multivalent q-starlike and q-convex functions
  10. Algebraic dependences of meromorphic mappings into a projective space sharing few hyperplanes
  11. Unbounded oscillation criteria for fourth order neutral differential equations of non-canonical type
  12. Existence of radial solutions for a weighted p-biharmonic problem with navier boundary condition on the Heisenberg group
  13. Intuitionistic fuzzy Tribonacci I-convergent sequence spaces
  14. Lipschitz class functions and their general Fourier coefficients
  15. Spectra and fine spectra of the generalized upper difference operator with triple repetition Δ3ab on the Hahn sequence space
  16. A Topological sphere theorem for contact CR-warped product submanifolds of an odd-dimensional unit sphere
  17. An extended type I half-logistic family of distributions: Properties, applications and different method of estimations
  18. On the Unit-Chen distribution with associated quantile regression and applications
  19. A note on LĂ©vy subordinators in cones of fuzzy sets in Banach spaces
  20. Uniformly asymptotic normality of the weighted estimator in nonparametric regression model with φ-mixing errors
  21. Upper bound for variance of finite mixtures of power exponential distributions
  22. The dimension Dind of finite topological T0-spaces
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