Persons: Faizrahmanov, Marat Khaidarovich

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Faizrahmanov, Marat Khaidarovich

Statistics Math-Net.Ru
Total publications:	47
Scientific articles:	46
Talks:	1

Number of views:
This page:	2232
Abstract pages:	25430
Full texts:	9882
Talk pages:	459
Video records:	68

Doctor of physico-mathematical sciences (2020)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Website:

https://mathcenter.kpfu.ru/mfaizrah

Keywords:

numbering, degree of unsolvability, degree spectra

UDC:

510.5, 510.53, 510.57

Subject:

Computability Theory, Theory of Numberings, Computable Model Theory

Main publications:

M. Kh. Faizrahmanov, “A family with a single minimal but not least numbering”, Sibirsk. Mat. Zh., 65:2 (2024), 395–407
M. Kh. Faizrakhmanov, “Universal generalized computable numberings and hyperimmunity”, Algebra Logika, 56:4 (2017), 506–521 ; Algebra and Logic, 56:4 (2017), 337–347
M. Kh. Faizrakhmanov, “Turing jumps in the Ershov hierarchy”, Algebra Logika, 50:3 (2011), 399–414 ; Algebra and Logic, 50:3 (2011), 279–289

https://www.mathnet.ru/eng/person39760

https://scholar.google.com/citations?user=1kltXtcAAAAJ&hl=en

https://elibrary.ru/author_items.asp?spin=7000-4283

https://orcid.org/0000-0002-4519-9696

https://www.webofscience.com/wos/author/record/K-7976-2015

https://www.scopus.com/authid/detail.url?authorId=36706020100

	Publications in Math-Net.Ru	Citations
	2026
1.	M. Kh. Faizrahmanov, “Complete numberings of families of sets of computable reals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2026, no. 5, 87–92
	2025
2.	Sh. D. Nodirov, M. Kh. Faizrahmanov, Z. K. Shchedrikova, “On infinite direct sums of minimal numberings of functional families”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 4, 38–52 ; Russian Math. (Iz. VUZ), 69:4 (2025), 33–44
3.	M. Kh. Faizrahmanov, Z. K. Shchedrikova, “Continuity properties of constructive operators on the computably enumerable reals”, Mat. Tr., 28:4 (2025), 158–173
4.	M. Kh. Faizrahmanov, “Continuity theorems for a class of computable operators”, Mat. Zametki, 117:4 (2025), 591–599 ; Math. Notes, 117:4 (2025), 643–649	2
5.	M. Kh. Faizrahmanov, “An approach to the classification of minimal numberings of families of arithmetical sets”, Sibirsk. Mat. Zh., 66:2 (2025), 330–338 ; Siberian Math. J., 66:2 (2025), 403–409
6.	M. Kh. Faizrahmanov, “On complete and almost complete constructive metric spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 3, 31–38 ; Moscow University Mathematics Bulletin, 80:3 (2025), 184–191
	2024
7.	A. S. Morozov, V. G. Puzarenko, M. Kh. Faizrahmanov, “Groups of permutations and ideals of Turing degrees”, Algebra Logika, 63:2 (2024), 209–224 ; Algebra and Logic, 63:2 (2024), 141–152
8.	M. Kh. Faizrahmanov, “On $e$-principal and $e$-complete numberings”, Mat. Zametki, 116:3 (2024), 461–476 ; Math. Notes, 116:3 (2024), 541–553
9.	M. Kh. Faizrahmanov, “A family with a single minimal but not least numbering”, Sibirsk. Mat. Zh., 65:2 (2024), 395–407 ; Siberian Math. J., 65:2 (2024), 381–391
	2023
10.	M. Kh. Faizrahmanov, “Effectively infinite classes of numberings of computable families of reals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 5, 96–100 ; Russian Math. (Iz. VUZ), 67:5 (2023), 72–75	1
11.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Negative numberings in admissible sets. II”, Mat. Tr., 26:2 (2023), 86–128 ; Siberian Adv. Math., 34:1 (2024), 41–66
12.	M. Kh. Faizrahmanov, “Positive reducibilities, extreme numberings, and completeness”, Mat. Tr., 26:1 (2023), 176–191 ; Siberian Adv. Math., 33:3 (2023), 204–213	3
13.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Negative numberings in admissible sets. I”, Mat. Tr., 26:1 (2023), 47–92 ; Siberian Adv. Math., 33:4 (2023), 293–321	1
14.	M. Kh. Faizrahmanov, “On the Embedding of the First Nonconstructive Ordinal in the Rogers Semilattices”, Mat. Zametki, 113:5 (2023), 764–774 ; Math. Notes, 113:5 (2023), 723–730	1
15.	M. Kh. Faizrahmanov, “Effectively infinite classes of numberings and fixed point theorems”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1519–1536
16.	M. Kh. Faizrahmanov, “Embedding of the first nonconstructive ordinal into the Rogers semilattices of families of arithmetic sets”, Sibirsk. Mat. Zh., 64:4 (2023), 830–840 ; Siberian Math. J., 64:4 (2023), 927–935	3
17.	M. Kh. Faizrahmanov, “Enumeration reducibility and positive reducibility of the numberings of families of arithmetic sets”, Sibirsk. Mat. Zh., 64:1 (2023), 204–212 ; Siberian Math. J., 64:1 (2023), 174–180	3
18.	M. Kh. Faizrahmanov, “Two theorems on minimal generally-computable numberings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 28–35 ; Moscow University Mathematics Bulletin, 78:3 (2023), 136–143	1
	2022
19.	A. S. Morozov, V. G. Puzarenko, M. Kh. Faizrahmanov, “Families of permutations and ideals of Turing degrees”, Algebra Logika, 61:6 (2022), 706–719 ; Algebra and Logic, 61:6 (2022), 481–490	2
20.	M. Kh. Faizrahmanov, “On numberings for classes of families of total functions”, Mat. Tr., 25:1 (2022), 177–197
21.	M. Kh. Faizrahmanov, “Splitting of c.e. degrees and superlowness”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 578–585
22.	M. Kh. Faizrahmanov, “On $p$-universal and $p$-minimal numberings”, Sibirsk. Mat. Zh., 63:2 (2022), 427–436 ; Siberian Math. J., 63:2 (2022), 365–373	3
	2021
23.	M. Kh. Faizrakhmanov, “Some properties of the upper semilattice of computable families of computably enumerable sets”, Algebra Logika, 60:2 (2021), 195–209 ; Algebra and Logic, 60:2 (2021), 128–138
24.	Z. K. Ivanova, M. Kh. Faizrahmanov, “Weak reducibility of computable and generalized computable numberings”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 112–120
	2020
25.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Semidecidable numberings in admissible sets”, Algebra Logika, 59:3 (2020), 395–402 ; Algebra and Logic, 59:3 (2020), 273–277
26.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrakhmanov, “Computable positive and Friedberg numberings in hyperarithmetic”, Algebra Logika, 59:1 (2020), 66–83 ; Algebra and Logic, 59:1 (2020), 46–58	3
27.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Positive numberings in admissible sets”, Sibirsk. Mat. Zh., 61:3 (2020), 607–621 ; Siberian Math. J., 61:3 (2020), 478–489	3
	2019
28.	M. Kh. Faizrakhmanov, “Khutoretskii's theorem for generalized computable families”, Algebra Logika, 58:4 (2019), 528–541 ; Algebra and Logic, 58:4 (2019), 356–365	11
29.	M. Kh. Faizrahmanov, “Lattice properties of Rogers semilattices of compuatble and generalized computable familie”, Sib. Èlektron. Mat. Izv., 16 (2019), 1927–1936
30.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Partial decidable presentations in hyperarithmetic”, Sibirsk. Mat. Zh., 60:3 (2019), 599–609 ; Siberian Math. J., 60:3 (2019), 464–471	3
	2018
31.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrakhmanov, “Positive presentations of families in relation to reducibility with respect to enumerability”, Algebra Logika, 57:4 (2018), 492–498 ; Algebra and Logic, 57:4 (2018), 320–323	1
32.	I. Sh. Kalimullin, A. Kach, A. Montalbán, V. G. Puzarenko, M. Kh. Faizrakhmanov, “Jump inversions of algebraic structures and the $\Sigma$-definability”, Algebra Logika, 57:2 (2018), 243–249 ; Algebra and Logic, 57:2 (2018), 161–165	1
33.	I. Sh. Kalimullin, M. Kh. Faizrakhmanov, “Degrees of enumerations of countable Wehner-like families”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 157 (2018), 59–69 ; J. Math. Sci. (N. Y.), 256:1 (2021), 51–60	1
34.	I. Sh. Kalimullin, V. G. Puzarenko, M. Kh. Faizrahmanov, “Positive presentations of families relative to $e$-oracles”, Sibirsk. Mat. Zh., 59:4 (2018), 823–833 ; Siberian Math. J., 59:4 (2018), 648–656	4
	2017
35.	M. Kh. Faizrakhmanov, “Universal generalized computable numberings and hyperimmunity”, Algebra Logika, 56:4 (2017), 506–521 ; Algebra and Logic, 56:4 (2017), 337–347	13
36.	M. Kh. Faizrahmanov, “The Rogers semilattices of generalized computable enumerations”, Sibirsk. Mat. Zh., 58:6 (2017), 1418–1427 ; Siberian Math. J., 58:6 (2017), 1104–1110	8
37.	M. Kh. Faizrahmanov, “Minimal generalized computable enumerations and high degrees”, Sibirsk. Mat. Zh., 58:3 (2017), 710–716 ; Siberian Math. J., 58:3 (2017), 553–558	12
	2016
38.	M. Kh. Faizrakhmanov, “Universal computable enumerations of finite classes of families of total functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 96–100 ; Russian Math. (Iz. VUZ), 60:12 (2016), 79–83	2
	2015
39.	I. Sh. Kalimullin, M. Kh. Faizrakhmanov, “A hierarchy of classes of families and $n$-low degrees”, Algebra Logika, 54:4 (2015), 536–541 ; Algebra and Logic, 54:4 (2015), 347–350	4
	2014
40.	M. Kh. Faizrakhmanov, “Arithmetical level of a class of superhigh sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5, 53–58 ; Russian Math. (Iz. VUZ), 58:5 (2014), 43–47	1
	2013
41.	M. Kh. Faizrahmanov, “Complements for enumeration $\Pi^0_1$-degrees”, Sibirsk. Mat. Zh., 54:6 (2013), 1388–1395 ; Siberian Math. J., 54:6 (2013), 1104–1109
	2012
42.	I. Sh. Kalimullin, M. Kh. Faizrakhmanov, “Limitwise monotonic spectra of $\Sigma^0_2$-sets”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012), 107–116	1
	2011
43.	M. Kh. Faizrakhmanov, “Turing jumps in the Ershov hierarchy”, Algebra Logika, 50:3 (2011), 399–414 ; Algebra and Logic, 50:3 (2011), 279–289	2
44.	M. Kh. Faizrakhmanov, “A semilattice generated by superlow computably enumerable degrees”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 85–90 ; Russian Math. (Iz. VUZ), 55:1 (2011), 74–78	3
	2010
45.	M. Kh. Faizrakhmanov, “Decomposability of low 2-computably enumerable degrees and Turing jumps in the Ershov hierarchy”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 58–66 ; Russian Math. (Iz. VUZ), 54:12 (2010), 51–58	5
46.	M. Kh. Faizrahmanov, “Computable numberings of families of low sets and Turing jumps in the Ershov hierarchy”, Sibirsk. Mat. Zh., 51:6 (2010), 1435–1439 ; Siberian Math. J., 51:6 (2010), 1135–1138	2

	2024
47.	A. N. Abyzov, L. D. Beklemishev, S. S. Goncharov, Yu. L. Ershov, I. Sh. Kalimullin, V. L. Selivanov, A. L. Semenov, A. Tuganbaev, M. Kh. Faizrahmanov, “Marat Mirzaevich Arslanov (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:2(476) (2024), 189–193 ; Russian Math. Surveys, 79:2 (2024), 369–373

Presentations in Math-Net.Ru

1.	Generalized computable numberings and fixed points M. Kh. Faizrahmanov Second Conference of Russian Mathematical Centers. Section «Mathematical Logic and Theoretical Computer Science» November 11, 2022 15:30

Organisations

Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University

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