Embedding modes into semimodules, part II

• Autorzy: Pilitowska A. , Romanowska A. B.
• Języki publikacji: EN

Abstrakty

EN

The first part of this paper specified the semi-affinization semiring of a mode variety as the universal scalar semiring for semimodules whose idempotent subreducts lie in the given variety of modes. The current part of the paper focusses on some selected varieties of modes (affine spaces, barycentric algebras, semilattice modes), and computes the semi-affinization semirings of these varieties.

Słowa kluczowe

EN

modes (idempotent entropic algebras); idempotent reducts and subreducts of (semi)modules over commutative (semi)rings

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 4
• Strony: 781--790
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Pilitowska A.

autor

Romanowska A. B.

• Faculty Of Mathematics And Information Science Warsaw University Of Technology Pl. Politechniki 1 00-661 Warsaw, Poland,

Bibliografia

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• [9] A. Pilitowska, A. Zamojska-Dzienio, Entropic modals, preprint, 2009.
• [10] A. B. Romanowska, Semi-affine modes and modals, Sci. Math. Jpn. 61 (2005), 159–194.
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• [12] A. B. Romanowska, J. D. H. Smith, Differential groupoids, Contributions to General Algebra 7 (1991), 283–290.
• [13] A. B. Romanowska, J. D. H. Smith, Embedding sums of cancellative modes into functorial sums of affine spaces, in Unsolved Problems on Mathematics for the 21st Century, a Tribute to Kiyoshi Iseki’s 80th Birthday (J. M. Abe and S. Tanaka, eds.), IOS Press, Amsterdam, 2001, pp. 127–139.
• [14] A. B. Romanowska, J. D. H. Smith, Modes, World Scientific, Singapore, 2002.
• [15] A. B. Romanowska, A. Zamojska-Dzienio, Embedding semilattice sums of cancellative modes into semimodules, Contributions to General Algebra 13 (2001), 295–303.