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This article is cited in 1 scientific paper (total in 1 paper)
Cross-sections of Green's relations in a symmetric inverse $0$-category
Yu. V. Zhuchok Shevchenko National University of Lugansk, Lugansk, Ukraine
Abstract:
All cross-sections that correspond to five Green relations $\mathscr{L,R,H,J}$, and $\mathscr D$ in a symmetric inverse $0$-category are described. The number of all such cross-sections in the finite case is counted. The cross-sections mentioned are classified up to isomorphism.
Keywords:
cross-section, Green's relation, symmetric inverse $0$-category.
Received: 09.07.2011 Revised: 07.08.2012
Citation:
Yu. V. Zhuchok, “Cross-sections of Green's relations in a symmetric inverse $0$-category”, Algebra Logika, 51:4 (2012), 458–475; Algebra and Logic, 51:4 (2012), 306–318
Linking options:
https://www.mathnet.ru/eng/al546 https://www.mathnet.ru/eng/al/v51/i4/p458
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Abstract page: | 365 | Full-text PDF : | 81 | References: | 64 | First page: | 14 |
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