Research Article

Pseudo pure-injective objects

Volume: 70 Number: 1 June 30, 2021
EN

Pseudo pure-injective objects

Abstract

We show that if M and N are pure essentially equivalent objects in a finitely accessible additive category A such that M is pseudo pure-N- injective and N is pseudo pure-M-injective, then M≅N.

Keywords

References

  1. Adámek, J. and Rosicky, J., Locally presentable and accessible categories, Cambridge University Press, Cambridge, 1994.
  2. Alahmadi, A., Facchini, A. and Tung, N. K., Automorphism-invariant modules, Rend. Semin. Mat Univ. Padova, 133 (2015), 241--259.
  3. Berktaş, M. K., A uniqueness theorem in a finitely accessible additive category, Algebr. Represent. Theor., 17 (2014), 1009--1012.
  4. Berktaş, M. K., On objects with a semilocal endomorphism rings in finitely accessible additive categories, Algebr. Represent. Theor., 18 (2015), 1389--1393.
  5. Berktaş, M. K., On pure Goldie dimensions, Comm. Algebra, 45 (2017), 3334--3339.
  6. Berktaş, M. K. and Keskin Tütüncü, D., The Schröder-Bernstein problem for objects in Grothendieck categories, preprint.
  7. Crawley-Boevey, W., Locally finitely presented additive categories, Comm. Algebra, 22 (1994), 1641--1674.
  8. Er, N., Singh, S. and Srivastava, A. K., Rings and modules which are stable under automorphisms of their injective hulls, J. Algebra, 379 (2013), 223--229.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

May 7, 2020

Acceptance Date

December 19, 2020

Published in Issue

Year 2021 Volume: 70 Number: 1

APA
Berktaş, M. K. (2021). Pseudo pure-injective objects. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(1), 265-268. https://doi.org/10.31801/cfsuasmas.733614
AMA
1.Berktaş MK. Pseudo pure-injective objects. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):265-268. doi:10.31801/cfsuasmas.733614
Chicago
Berktaş, Mustafa Kemal. 2021. “Pseudo Pure-Injective Objects”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (1): 265-68. https://doi.org/10.31801/cfsuasmas.733614.
EndNote
Berktaş MK (June 1, 2021) Pseudo pure-injective objects. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 1 265–268.
IEEE
[1]M. K. Berktaş, “Pseudo pure-injective objects”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 1, pp. 265–268, June 2021, doi: 10.31801/cfsuasmas.733614.
ISNAD
Berktaş, Mustafa Kemal. “Pseudo Pure-Injective Objects”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/1 (June 1, 2021): 265-268. https://doi.org/10.31801/cfsuasmas.733614.
JAMA
1.Berktaş MK. Pseudo pure-injective objects. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:265–268.
MLA
Berktaş, Mustafa Kemal. “Pseudo Pure-Injective Objects”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 1, June 2021, pp. 265-8, doi:10.31801/cfsuasmas.733614.
Vancouver
1.Mustafa Kemal Berktaş. Pseudo pure-injective objects. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Jun. 1;70(1):265-8. doi:10.31801/cfsuasmas.733614

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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