185
Views
2
CrossRef citations to date
0
Altmetric
Articles

Minus partial order in regular modules

, , &
Pages 4542-4553 | Received 20 Sep 2019, Accepted 02 May 2020, Published online: 01 Jun 2020

References

  • Baksalary, J. K., Mitra, S. K. (1991). Left-star and right-star partial orderings. Linear Algebra Appl. 149: 73–89. DOI: 10.1016/0024-3795(91)90326-R.
  • Berberian, S. K. (1972). Baer *-Rings. New York: Springer-Verlag.
  • Blackwood, B., Jain, S. K., Prasad, K. M., Srivastava, A. K. (2009). Shorted operators relative to a partial order in a regular ring. Commun. Algebra 37(11):4141–4152. DOI: 10.1080/00927870902828629.
  • Djordjević, D. S., Rakić, D. S., Marovt, J. (2015). Minus partial order in Rickart rings. Publ. Math. Debrecen. 87(3–4):291–305. DOI: 10.5486/PMD.2015.7161.
  • Dolinar, G., Guterman, A., Marovt, J. (2014). Monotone transformations on B(H) with respect to the left-star and the right-star partial order. Math. Inequal. Appl. 17(2):573–589. DOI: 10.7153/mia-17-43.
  • Drazin, M. P. (1978). Natural structures on semigroups with involution. Bull. Am. Math. Soc. 84(1): 139–141. DOI: 10.1090/S0002-9904-1978-14442-5.
  • Hartwig, R. E. (1980). How to partially order regular elements. Math. Japon. 25:1–13.
  • Higgins, P. M. (1992). Techniques of the Semigroup Theory. Oxford: Oxford University Press.
  • Kaplansky, I. (1968). Rings of Operators. New York-Amsterdam: W. A. Benjamin Inc.
  • Marovt, J., Rakić, D. S., Djordjević, D. S. (2015). Star, left-star, and right-star partial orders in Rickart *-rings. Linear Multilinear Algebra 63(2):343–365. DOI: 10.1080/03081087.2013.866670.
  • Mitsch, H. (1986). A natural partial order for semigroups. Proc. Am. Math. Soc. 97(3):384–388. DOI: 10.1090/S0002-9939-1986-0840614-0.
  • Nashed, M. Z, ed. (1976). Generalized Inverses and Applications. New York-London: Academic Press.
  • Nicholson, W. K., Yousif, M. F. (2003). Quasi-Frobenius Rings, Cambridge Tracts in Mathematics, Vol. 158. Cambridge: Cambridge University Press.
  • Šemrl, P. (2010). Automorphisms of B(H) with respect to minus partial order. J. Math. Anal. Appl. 369: 205–213.
  • Zelmanowitz, J. (1972). Regular modules. Trans. Am. Math. Soc. 163:341–355. DOI: 10.1090/S0002-9947-1972-0286843-3.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.