Persons: Faizrahmanov, Marat Khaidarovich

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Faizrahmanov, Marat Khaidarovich

Statistics Math-Net.Ru
Total publications:	43
Scientific articles:	42
Presentations:	1

Number of views:
This page:	1380
Abstract pages:	12154
Full texts:	3345
References:	2101

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
	2025
1.	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
2.	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
	2024
3.	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
4.	M. Kh. Faizrahmanov, “On $e$-principal and $e$-complete numberings”, Mat. Zametki, 116:3 (2024), 461–476 ; Math. Notes, 116:3 (2024), 541–553
5.	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
6.	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
7.	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
8.	M. Kh. Faizrahmanov, “Positive reducibilities, extreme numberings, and completeness”, Mat. Tr., 26:1 (2023), 176–191 ; Siberian Adv. Math., 33:3 (2023), 204–213	1
9.	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
10.	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
11.	M. Kh. Faizrahmanov, “Effectively infinite classes of numberings and fixed point theorems”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1519–1536
12.	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	1
13.	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	4
14.	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	2
	2022
15.	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	1
16.	M. Kh. Faizrahmanov, “On numberings for classes of families of total functions”, Mat. Tr., 25:1 (2022), 177–197
17.	M. Kh. Faizrahmanov, “Splitting of c.e. degrees and superlowness”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 578–585
18.	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	4
	2021
19.	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
20.	Z. K. Ivanova, M. Kh. Faizrahmanov, “Weak reducibility of computable and generalized computable numberings”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 112–120
	2020
21.	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
22.	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
23.	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
24.	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	9
25.	M. Kh. Faizrahmanov, “Lattice properties of Rogers semilattices of compuatble and generalized computable familie”, Sib. Èlektron. Mat. Izv., 16 (2019), 1927–1936
26.	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
27.	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
28.	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
29.	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
30.	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
31.	M. Kh. Faizrakhmanov, “Universal generalized computable numberings and hyperimmunity”, Algebra Logika, 56:4 (2017), 506–521 ; Algebra and Logic, 56:4 (2017), 337–347	12
32.	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	9
33.	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	13
	2016
34.	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
35.	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
36.	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
	2013
37.	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
38.	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
39.	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
40.	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
41.	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	4
42.	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
43.	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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