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87 results on '"IIJIMA, Yusuke"'

1. On connected component decompositions of quandles

Author

Iijima, Yusuke and Murao, Tomo

Subjects
Mathematics - Geometric Topology, 57M25, 57M27
Abstract

We give a formula of the connected component decomposition of the Alexander quandle: $\mathbb{Z}[t^{\pm1}]/(f_1(t),\ldots, f_k(t))=\bigsqcup^{a-1}_{i=0}\mathrm{Orb}(i)$, where $a=\gcd (f_1(1),\ldots, f_k(1))$. We show that the connected component $\mathrm{Orb}(i)$ is isomorphic to $\mathbb{Z}[t^{\pm1}]/J$ with an explicit ideal $J$. By using this, we see how a quandle is decomposed into connected components for some Alexander quandles. We introduce a decomposition of a quandle into the disjoint union of maximal connected subquandles. In some cases, this decomposition is obtained by iterating a connected component decomposition. We also discuss the maximal connected sub-multiple conjugation quandle decomposition.

Published
2017

2. Improving Document Similarity Calculation Using Cosine-Similarity Graphs

Author

Takano, Yasunao, Iijima, Yusuke, Kobayashi, Kou, Sakuta, Hiroshi, Sakaji, Hiroki, Kohana, Masaki, Kobayashi, Akio, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Barolli, Leonard, editor, Takizawa, Makoto, editor, Xhafa, Fatos, editor, and Enokido, Tomoya, editor

Published
2020
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13. Synthesis of dimethyl gloiosiphone A by way of palladium-catalyzed domino cyclization

Author

Doi, Takayuki, Iijima, Yusuke, Takasaki, Masaru, and Takahashi, Takashi

Subjects
Ring formation (Chemistry) -- Research, Palladium catalysts -- Chemical properties, Methyl groups -- Chemical properties, Oxidation-reduction reaction -- Research, Biological sciences, Chemistry
Abstract

The synthesis and formation of the dimethyl gloiosiphone A, spiro[4,4]nonane skeleton is described by using the palladium-catalyzed domino cyclization of a linear 7-methylene-2,10-undecadienyl acetate. The one-pot two-step allylation is found to be a result of the oxidation of allylic ether moiety, in addition to the transformation of the vinyl group to an exo-methylene unit, giving the desired product.

Published
2007

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