This article is cited 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.

UDC: 512.53

Received: 09.07.2011
Revised: 07.08.2012

 English version: Algebra and Logic, 2012, 51:4, 306–318

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