Standard

Boolean-Valued Universe as an Algebraic System. II : Intensional Hierarchies. / Gutman, A. E.

In: Siberian Mathematical Journal, Vol. 61, No. 3, 01.05.2020, p. 426-452.

Research output: Contribution to journal › Article › peer-review

Harvard

Gutman, AE 2020, 'Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies', Siberian Mathematical Journal, vol. 61, no. 3, pp. 426-452. https://doi.org/10.1134/S0037446620030052

APA

Gutman, A. E. (2020). Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies. Siberian Mathematical Journal, 61(3), 426-452. https://doi.org/10.1134/S0037446620030052

Vancouver

Gutman AE. Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies. Siberian Mathematical Journal. 2020 May 1;61(3):426-452. doi: 10.1134/S0037446620030052

Author

Gutman, A. E. / Boolean-Valued Universe as an Algebraic System. II : Intensional Hierarchies. In: Siberian Mathematical Journal. 2020 ; Vol. 61, No. 3. pp. 426-452.

BibTeX

@article{02addd72edb4468f98947eb7f20108f4,
title = "Boolean-Valued Universe as an Algebraic System. II: Intensional Hierarchies",
abstract = "Under study are the notions of transitivity, regularity, and σ-regularity for Boolean-valued algebraic systems of set-theoretic signature. The notion of a universe over an arbitrary extensional Boolean-valued system is introduced. Some description is proposed for the structure of the universe by means of various hierarchies. The results are used for proving the uniqueness of a Boolean-valued universe up to a unique isomorphism.",
keywords = "Boolean-valued algebraic system, Boolean-valued analysis, cumulative hierarchy, set theory, universe",
author = "Gutman, {A. E.}",
year = "2020",
month = may,
day = "1",
doi = "10.1134/S0037446620030052",
language = "English",
volume = "61",
pages = "426--452",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

TY - JOUR

T1 - Boolean-Valued Universe as an Algebraic System. II

T2 - Intensional Hierarchies

AU - Gutman, A. E.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - Under study are the notions of transitivity, regularity, and σ-regularity for Boolean-valued algebraic systems of set-theoretic signature. The notion of a universe over an arbitrary extensional Boolean-valued system is introduced. Some description is proposed for the structure of the universe by means of various hierarchies. The results are used for proving the uniqueness of a Boolean-valued universe up to a unique isomorphism.

AB - Under study are the notions of transitivity, regularity, and σ-regularity for Boolean-valued algebraic systems of set-theoretic signature. The notion of a universe over an arbitrary extensional Boolean-valued system is introduced. Some description is proposed for the structure of the universe by means of various hierarchies. The results are used for proving the uniqueness of a Boolean-valued universe up to a unique isomorphism.

KW - Boolean-valued algebraic system

KW - Boolean-valued analysis

KW - cumulative hierarchy

KW - set theory

KW - universe

UR - http://www.scopus.com/inward/record.url?scp=85086333219&partnerID=8YFLogxK

U2 - 10.1134/S0037446620030052

DO - 10.1134/S0037446620030052

M3 - Article

AN - SCOPUS:85086333219

VL - 61

SP - 426

EP - 452

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 24519784