Septimiu Crivei's Publications

Books

1. N. Both, S. Crivei, Problems of algebra, "Babes-Bolyai" University Press, Cluj-Napoca, 1997, 146 pp. (Romanian).
2. S. Crivei, Basic abstract algebra, House of the Book of Science, Cluj-Napoca, 2002, 2003 (second edition), viii + 260 pp. ISBN 973-686-320-4
3. S. Crivei, Injective modules relative to torsion theories, EFES Publishing House, Cluj-Napoca, 2004, xii + 186 pp. ISBN 973-8254-51-5
4. S. Crivei, A. Marcus, C. Sacarea, C. Szanto, Computational algebra with applications to coding theory and cryptography, EFES Publishing House, Cluj-Napoca, 2006, viii + 198 pp. ISBN-10 973-7677-31-5, ISBN-13 978-973-7677-31-0
5. S. Crivei, G. Olteanu, Algebraic aspects of public-key cryptography, EFES Publishing House, Cluj-Napoca, 2008, vi + 128 pp. ISBN 978-606-526-012-2
6. S. Crivei, Basic linear algebra, Cluj University Press, Cluj-Napoca, 2022, 154 pp. ISBN 978‐606‐37‐1582‐2

Proceedings

1. A. Marcus, S. Crivei (Eds.), Proceedings of the Algebra Symposium (Cluj-Napoca, Romania, November 23-24, 2001), EFES Publishing House, Cluj-Napoca, 2002, 200 pp. ISBN 973-8254-26-4
2. S. Breaz, S. Crivei, A. Marcus (Eds.), Proceedings of the International Conference on Modules and Representation Theory (Cluj-Napoca, July 7-12, 2008), Cluj University Press, Cluj-Napoca, 2009, xii+220pp. ISBN 978-973-610-897-6

Articles

1. I. Crivei, S. Crivei, P-pure exact sequences of modules, Automat. Comput. Appl. Math. 4 (1995), 88-94.
2. I. Crivei, S. Crivei, Pure ideals of a ring, Automat. Comput. Appl. Math. 6 (1997), 5-10.
3. S. Crivei, m-injective modules, Mathematica 40 (63) (1998), 71-78.
4.S. Crivei, Minimal m-injective modules, Mathematica 40 (63) (1998), 159-164.
5. S. Crivei, On a class of modules whose non-zero endomorphisms are monomorphisms, Studia Univ. "Babes-Bolyai", Mathematica 43 (1998), 23-28.
6. I. Crivei, S. Crivei, Absolutely s-pure modules, Automat. Comput. Appl. Math. 7 (1998), 25-30.
7. S. Crivei, m-injective envelopes of modules, Mathematica 41 (64) (1999), 149-159.
8. S. Crivei, On m-injective modules over noetherian rings, Pure Math. Appl. 11 (2000), 173-181.
9. S. Crivei, Modules injective with respect to maximal ideals, Proceedings of the Euroconference on Rings, Modules and Representations (Constanta, Romania, August 14-18, 2000); in Analele St. Univ. "Ovidius" 8 (2000), 13-19.
10. S. Crivei, Direct sums of minimal m-injective modules, Mathematica 43 (66) (2001), 185-191.
11. S. Crivei, Injective modules relative to the Dickson torsion theory, Vietnam J. Math. 29 (2001), 369-378.
12. S. Crivei, A note on T-quasi-injective modules, Studia Univ. "Babes-Bolyai", Mathematica 46 (2001), 33-39.
13. S. Crivei, I. Crivei, Classes of modules related to Serre subcategories, Analele St. Univ. "Ovidius" 9 (2001), 39-46.
14. S. Crivei, Some approximations of modules, Proceedings of the Algebra Symposium (Cluj-Napoca, Romania, November 23-24, 2001), EFES Publishing House, Cluj-Napoca, 2002, pp. 23-34.
15. S. Crivei, On T-injective hulls of modules, Publ. Math. Debrecen 61 (2002), 145-155.
16. S. Crivei, On a generalization of the Loewy series of a module, Pure Math. Appl. 13 (2002), 117-124.
17. S. Crivei, On T-complemented modules, Mathematica 45 (68) (2003), 127-136.
18. S. Crivei, M. Prest, G. Reynders, Model theory of comodules, J. Symbolic Logic 69 (2004), 137-142.
19. S. Crivei, On T-completely decomposable modules, Bull. Aust. Math. Soc. 70 (2004), 163-175.
20. S. Crivei, Relative natural classes and relative injectivity, Internat. J. Math. Math. Sciences 2005 (2005), 671-678.
21. S. Crivei, J.L. Garcia, Gruson-Jensen duality for idempotent rings, Comm. Algebra 33 (2005), 3949-3966.
22. I. Crivei, S. Crivei, Divisible modules with respect to a torsion theory. In: Algebras, Rings and Their Representations (Proceedings of the International Conference on Algebras, Modules and Rings - Lisbon, Portugal, July 14-18, 2003), World Scientific, 2006, pp. 25-36.
23. S. Crivei, T-injective submodules of indecomposable injective modules, J. Korean Math. Soc. 43 (2006), 65-76.
24. S. Crivei, Relatively complemented and relatively supplemented modules, Proceedings of the Algebra Symposium (Cluj-Napoca, Romania, May 27-28, 2005), EFES Publishing House, Cluj-Napoca, 2006, pp. 47-59.
25. I. Crivei, S. Crivei, (m,n)-purity for modules, Bull. Math. Soc. Sci. Math. Roumanie 49 (97) (2006), 37-46.
26. I. Crivei, S. Crivei, I. Purdea, Change of ring and torsion-theoretic injectivity, Bull. Aust. Math. Soc. 75 (2007), 127-133.
27. S. Caenepeel, S. Crivei, A. Marcus, M. Takeuchi , Morita equivalences induced by bimodules over Hopf-Galois extensions, J. Algebra 314 (2007), 267-302.
28. S. Crivei, S. Suteu Szollosi , Subgroup lattice algorithms related to extending and lifting abelian groups, Int. Electron. J. Algebra 2 (2007), 54-70.
29. S. Crivei, Sigma-extending modules, Sigma-lifting modules, and proper classes, Comm. Algebra 36 (2008), 529-545.
30. S. Crivei, G. Olteanu, S. Suteu-Szollosi, ELISA - A collection of GAP algorithms related to extending abelian groups. In: Actas del Undecimo Encuentro de Algebra Computacional y Aplicaciones, Granada, 2008, pp. 163-166.
31. S. Crivei, A note on flat covers of comodules, Mathematica 50 (73) (2008), 187-190.
32. S. Crivei, B. Torrecillas, On some monic covers and epic envelopes, Arab. J. Sci. Eng. Sect. C, Theme Issue on Interactions of Algebraic and Coalgebraic Structures (Theory and Applications), 33 (2008), 123-135.
33. S. Crivei, G. Olteanu, GAP algorithms for finite abelian groups and applications, Carpathian J. Math. 24 (2008), 310-316.
34. S. Crivei, Epic envelopes by generalized flat modules, Mathematica 51 (74) (2009), 47-53. pdf
35. I. Crivei, S. Crivei, Associated classes of modules, Studia Univ. ''Babes-Bolyai'', Mathematica 54 (2009), 23-32. pdf
36. S. Crivei, Relatively extending modules, Algebr. Represent. Theory 12 (2009), 319-332. pdf (view)
37. S. Crivei, Finitely accessible categories, generalized module categories and approximations, Proceedings of the International Conference on Modules and Representation Theory (Cluj-Napoca, Romania, July 7-12, 2008), Cluj University Press, Cluj-Napoca, 2009, pp. 53-60. pdf
38. S. Crivei, M. Prest, B. Torrecillas, Covers in finitely accessible categories, Proc. Amer. Math. Soc. 138 (2010), 1213-1221. pdf
39. S. Crivei, C. Nastasescu, B. Torrecillas, On the Osofsky-Smith theorem, Glasgow Math. J. 52A (2010), 61-67. pdf
40. S. Crivei, Relatively lifting modules, Algebra Colloq. 17 (2010), 789-798. pdf
41. S. Crivei, On Krull-Schmidt finitely accessible categories, Bull. Aust. Math. Soc. 84 (2011), 90-97. doi:10.1017/S0004972711002085
42. S. Crivei, Maximal exact structures on additive categories revisited, Math. Nachr. 285 (2012), 440-446. doi:10.1002/mana.201000065 arXiv:1106.1606
43. S. Crivei, M.C. Iovanov, Symmetry for comodule categories, J. Algebra Appl. 11 (2012), 1250009 (16 pages). doi:10.1142/S0219498811005324
44. S. Crivei, C. Nastasescu, L. Nastasescu, A generalization of the Mitchell Lemma: The Ulmer Theorem and the Gabriel-Popescu Theorem revisited, J. Pure Appl. Algebra 216 (2012), 2126-2129. doi:10.1016/j.jpaa.2012.01.014
45. S. Bazzoni, S. Crivei, One-sided exact categories, J. Pure Appl. Algebra 217 (2013), 377-391. doi:10.1016/j.jpaa.2012.06.019 arXiv:1106.1092
46. S. Crivei, H. Inankil, M.T. Kosan, G. Olteanu, Correspondences of coclosed submodules, Comm. Algebra 41 (2013), 3635-3647. doi:10.1080/00927872.2012.673667 arXiv:1203.0729
47. S. Crivei, Essential and retractable Galois connections, J. Algebra Appl. 12 (2013), 1350017 (14 pages). doi:10.1142/S0219498813500175 arXiv:1301.0422
48. S. Crivei, On flat objects of finitely accessible categories, Sci. World J. 2013 (2013), Article ID 451091 (4 pages). doi:10.1155/2013/451091
49. S. Crivei, Neat and coneat submodules of modules over commutative rings, Bull. Aust. Math. Soc. 89 (2014), 343-352. doi:10.1017/S0004972713000622
50. S. Crivei, S. Sahinkaya, Modules whose closed submodules with essential socle are direct summands, Taiwanese J. Math. 18 (2014), 989-1002. doi:10.11650/tjm.18.2014.3388
51. S. Crivei, The Square-Cross Lemma, Bull. Math. Soc. Sci. Math. Roumanie 57 (105) (2014), 261-269.
52. S. Crivei, A. Kör, Rickart and dual Rickart objects in abelian categories, Appl. Categor. Struct. 24 (2016), 797-824. doi: 10.1007/s10485-015-9405-z (view)
53. M.K. Berktaş, S. Crivei, On complete pure-injectivity in locally finitely presented categories, Bull. Math. Soc. Sci. Math. Roumanie 59 (107) (2016), 331-337.
54. S. Crivei, Flat weakly FP-injective and FP-injective weakly flat functors, Results Math. 71 (2017), 1031-1045. doi: 10.1007/s00025-016-0598-8 (view)
55. S. Crivei, D. Keskin Tütüncü, On some radicals and proper classes associated to simple modules, J. Algebra Comb. Discrete Struct. Appl. 4 (2017), 123-129. doi: 10.13069/jacodesmath.284943
56. S. Crivei, G. Olteanu, Rickart and dual Rickart objects in abelian categories: Transfer via functors, Appl. Categor. Struct. 26 (2018), 681-698. doi: 10.1007/s10485-017-9509-8 (view)
57. S. Crivei, D. Keskin Tütüncü, Weak Rickart and dual weak Rickart objects in abelian categories, Comm. Algebra 46 (2018), 2912-2926. doi: 10.1080/00927872.2017.1404079
58. S. Crivei, G. Olteanu, Strongly Rickart objects in abelian categories, Comm. Algebra 46 (2018), 4326-4343. doi: 10.1080/00927872.2018.1439046
59. S. Crivei, G. Olteanu, Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects, Comm. Algebra 46 (2018), 4426-4447. doi: 10.1080/00927872.2018.1444171
60. S. Crivei, M.T. Kosan, T. Yildirim, On regular morphisms in abelian categories, J. Algebra Appl. 18 (2019), Article No. 1950180. doi: 10.1142/S0219498819501809
61. S. Crivei, D. Keskin Tütüncü, Baer-Kaplansky classes in Grothendieck categories and applications, Mediterr. J. Math. 16 (2019), Article No. 90. doi: 10.1007/s00009-019-1368-0 (view)
62. S. Crivei, D. Keskin Tütüncü, R. Tribak, Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories, Comm. Algebra 48 (2020), 2639-2654. doi:10.1080/00927872.2020.1721732
63. S. Crivei, D. Keskin Tütüncü, R. Tribak, Baer-Kaplansky classes in categories: transfer via functors. Comm. Algebra 48 (2020), 3157-3169. doi:10.1080/00927872.2020.1729785
64. S. Crivei, D. Keskin Tütüncü, R. Tribak, A Baer-Kaplansky theorem in additive categories. In: Ring Theory 2019 (Proceedings of the Eighth China-Japan-Korea International Symposium on Ring Theory), World Scientific, 2021, pp. 203-213. doi:10.1142/9789811230295_0013
65. S. Crivei, D. Keskin Tütüncü, Relatively divisible and relatively flat objects in exact categories, J. Algebra Appl. (2021), 2150088 (22 pages). doi:10.1142/S0219498821500882
66. S. Crivei, G. Olteanu, π-Rickart and dual π-Rickart objects in abelian categories, J. Algebra Appl. (2021), 2150232 (15 pages). doi:10.1142/S0219498821502327
67. M.K. Berktaş, S. Crivei, F. Kaynarca, Keskin Tütüncü, Uniqueness of uniform decompositions in exact categories, J. Pure Appl. Algebra 225 (2021), 106621. doi:10.1016/j.jpaa.2020.106621
68. S. Crivei, D. Keskin Tütüncü, Relatively divisible and relatively flat objects in exact categories: Applications, Appl. Algebra Engrg. Comm. Comput. 32 (2021), 365-384. doi: 10.1007/s00200-021-00487-7 (view)
69. S. Crivei, D. Keskin Tütüncü, G. Olteanu, F-Baer objects with respect to a fully invariant short exact sequence in abelian categories, Comm. Algebra 49 (2021), 5041-5060. doi: 10.1080/00927872.2021.1935986
70. S. Crivei, D. Keskin Tütüncü, R. Tribak, Split objects with respect to a fully invariant short exact sequence in abelian categories, Rend. Sem. Mat. Univ. Padova 147 (2022), 1-41. doi: 10.4171/RSMUP/88
71. S. Crivei, On isomorphic injective objects in categories, Math. Rep. 24 (74) (2022), 425-432.
72. S. Crivei, S.M. Radu, Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories, Quaest. Math. 45 (2022), 993-1011. doi: 10.2989/16073606.2021.1925990
73. S. Crivei, S.M. Radu, Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories, Comm. Algebra 50 (2022), 903-919. doi: 10.1080/00927872.2021.1976201
74. S. Crivei, S.M. Radu, CS-Rickart and dual CS-Rickart objects in abelian categories, Bull. Belgian Math. Soc. Simon Stevin 29 (2022). doi: 10.36045/j.bbms.210902
75. I.E. Chiru, S. Crivei, Von Neumann regular matrices revisited, Linear Multilinear Algebra 71 (2023), 1352-1363. doi: 10.1080/03081087.2022.2061402
76. S. Crivei, D. Keskin Tütüncü, S.M. Radu and R. Tribak, CS-Baer and dual CS-Baer objects in abelian categories, J. Algebra Appl. 22 (2023), 2350220. doi: 10.1142/S0219498823502201
77. M. Cortés-Izurdiaga, S. Crivei and M. Saorín, Reflective and coreflective subcategories, J. Pure Appl. Algebra 227 (2023), 107267. doi: 10.1016/j.jpaa.2022.107267
78. I.E. Chiru, S. Crivei and G. Olteanu, Strongly regular matrices revisited, Linear Algebra and Its Applications 658 (2023), 233-249. doi: 10.1016/j.laa.2022.11.006
79. S. Crivei, D. Keskin Tütüncü, G. Olteanu, Weak Rickart and dual weak Rickart objects in abelian categories: Transfer via functors, Bull. Math. Soc. Sci. Math. Roumanie 66 (114) (2023), 189-207.

Computer package

S. Crivei, G. Olteanu, S. Suteu-Szollosi, ELISA - A collection of GAP algorithms related to extending and lifting abelian groups. http://www.gap-system.org/Packages/undep.html.