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Research Article

On existence of joins and meets under the star order in strong Rickart rings

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Pages 7370-7383 | Received 28 May 2021, Accepted 26 Sep 2021, Published online: 02 Nov 2021

References

  • Janowitz MF. On the ∗-order for Rickart ∗-rings. Algebra Univ. 1983;36:360–369.
  • Djikić MS, Djordjević DS. Coherent and precoherent elements in Rickart ∗-rings. Linear Algebra Appl. 2016;509:64–81.
  • Berberian SK. Baer -rings. Springer Verlag,: Berlin; 1972, 2011.
  • Cīrulis J. Lattice operations on Rickart ∗-rings under the star order. Linear Multilinear Algebra. 2015;63:497–508.
  • Cīrulis J. Extending the star order to Rickart rings. Linear Multilinear Algebra. 2015;64:1498–1508.
  • Cīrulis J. Relatively orthocomplemented skew nearlattices in Rickart rings. Demonstratio Math. 2015;48:492–507.
  • Djikić MS. Properties of the star supremum for arbitrary Hilbert space operators. J Math Anal Appl. 2016;441:446–461.

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