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Research Articles

Idempotent-prime ideals and Baer-type rings with involution

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Pages 3371-3382 | Received 06 Aug 2023, Accepted 06 Feb 2024, Published online: 22 Feb 2024

References

  • Armendariz, E. P. (1974). A note on extensions of Baer and p.p.-rings. J. Austral. Math. Soc. 18:470–473. DOI: 10.1017/S1446788700029190.
  • Beidar, K. I., Márki, L., Mlitz, R., Wiegandt, R. (2005). Primitive involution rings. Acta Math. Hung. 109(4):357–368.
  • Berberian, S. K. (1972). Baer *-rings. Berlin, Heidelberg, New York: Springer-Verlag.
  • Birkenmeier, G. F. (1983). Idempotents and completely semiprime ideals. Commun. Algebra 11:567–58.
  • Birkenmeier, G. F., Groenewald, N. J., Heatherly, H. E. (1997). Minimal and maximal ideals in rings with involution. Beiträge Algebra Geom. 38(2):217–225.
  • Birkenmeier, G. F., Heider, B. J. (2019). Annihilators and extensions of idempotent-generated ideals. Commun. Algebra 47(3):1348–1375. DOI: 10.1080/00927872.2018.1506462.
  • Birkenmeier, G. F., Kim, J. Y., Park, J. K. (2001). Polynomial extensions of Baer and quasi-Baer rings. J. Pure Appl. Algebra 159:25–42. DOI: 10.1016/S0022-4049(00)00055-4.
  • Birkenmeier, G. F., Kim, J. Y., Park, J. K. (2001). Principally quasi-Baer rings. Commun. Algebra 29:639–660. DOI: 10.1081/AGB-100001530.
  • Birkenmeier, G. F., Park, J. K. (2000). Self-adjoint ideals in Baer *-ring. Commun. Algebra 28:4259–4268. DOI: 10.1080/00927870008827088.
  • Clark, W. E. (1967). Twisted matrix units semigroup algebras. Duke Math. J. 34:417–424. DOI: 10.1215/S0012-7094-67-03446-1.
  • Davidson, K. R. (1996). C∗-Algebras by Example. Fields Institute Monographs 6. Providence: American Mathematical Society, 4.
  • Faith, C., Utumi, Y. (1964). Intrinsic extensions of rings. Pac. J. Math. 14(2):505–512. DOI: 10.2140/pjm.1964.14.505.
  • Hattori, A. (1960). A foundation of torsion theory for modules over general rings. Nagoya Math. J. 17:147–158. DOI: 10.1017/S0027763000002099.
  • Kaplansky, I. (1968). Rings of Operators. New York: Benjamin.
  • Kim, J. Y., Baik, J. U. (2006). On idempotent reflexive rings. Kyungpook Math. J. 46:597–601.
  • Kwak, T. K., Lee, Y. (2012). Reflexive property of rings. Commun. Algebra 40(4):1576–1594. DOI: 10.1080/00927872.2011.554474.
  • Maeda, S. (1960). On a ring whose principal right ideals generated by idempotents form a lattice. J. Sci. Hiroshima Univ. Ser. A 24:509–525.

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