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This article is cited in 5 scientific papers (total in 5 papers)
Polygons with primitive normal and additive theories
A. A. Stepanova
Abstract:
Previously, primitive normal, primitive connected, and additive theories of $S$-polygons were studied. In particular, it was proved that the class of all $S$-polygons is primitive normal iff $S$ is a linearly ordered monoid. The present paper is a continuation of this research. Here, Spolygons with primitive normal, additive, and antiadditive theories are described in the language of a primitive equivalence structure. It is shown that the class of all $S$-polygons is antiadditive only for a linearly ordered monoid $S$, that is, this class is antiadditive iff it is primitive normal.
Keywords:
polygon, primitive normal theory, additive theory, antiadditive theory.
Received: 28.04.2007
Citation:
A. A. Stepanova, “Polygons with primitive normal and additive theories”, Algebra Logika, 47:4 (2008), 491–508; Algebra and Logic, 47:4 (2008), 279–288
Linking options:
https://www.mathnet.ru/eng/al370 https://www.mathnet.ru/eng/al/v47/i4/p491
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Abstract page: | 334 | Full-text PDF : | 79 | References: | 46 | First page: | 3 |
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