DIFFERENTIAL MODES-Reference-Cited by-同舟云学术

DIFFERENTIAL MODES

Published:2008-05 Issue:03 Volume:18 Page:567-588
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

KRAVCHENKO A. V.¹,PILITOWSKA A.²,ROMANOWSKA A. B.²,STANOVSKÝ D.³

Affiliation:

1. Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia

2. Faculty of Mathematics and Information Sciences, Warsaw University of Technology, 00-661 Warsaw, Poland

3. Charles University, Prague, Czech Republic

Abstract

Modes are idempotent and entropic algebras. Although it had been established many years ago that groupoid modes embed as subreducts of semimodules over commutative semirings, the general embeddability question remained open until Stronkowski and Stanovský's recent constructions of isolated examples of modes without such an embedding. The current paper now presents a broad class of modes that are not embeddable into semimodules, including structural investigations and an analysis of the lattice of varieties.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004561

Reference18 articles.

1. Semilattice modes I: the associated semiring

2. R. Pöschel and M. Reichel, General Algebra and Applications, eds. K. Denecke and H. Vogel (Heldermann Verlag, Berlin, 1993) pp. 180–194.

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. EMBEDDINGS OF DIFFERENTIAL GROUPOIDS INTO MODULES OVER COMMUTATIVE RINGS;SIB ELECTRON MATH RE;2016

2. The structure of medial quandles;Journal of Algebra;2015-12

3. Complexity of quasivariety lattices for varieties of differential groupoids. II;Siberian Advances in Mathematics;2013-04

4. SUBDIRECTLY IRREDUCIBLE DIFFERENTIAL MODES;International Journal of Algebra and Computation;2012-06

5. ON MODE REDUCTS OF SEMIMODULES;International Journal of Algebra and Computation;2011-05