Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type

Gein A. G.; Shushpanov M. P.

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Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type

机译：具有模块化类型属性的元素生成的晶格模块化的充分条件

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We consider the 3-generated lattices whose generators enjoy some properties that are close to modularity in a sense, including left modularity, right modularity, and dual right modularity. We find all combinations of these properties that suffice for the modularity of the lattice.

机译：我们考虑3生成格，其生成器在某种意义上具有一些接近模块化的属性，包括左模块化，右模块化和对右双模块化。我们找到了足以满足晶格模块化的这些属性的所有组合。

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《Siberian Mathematical Journal》 |2015年第4期|共6页
作者
Gein A. G.; Shushpanov M. P.;
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正文语种 eng
中图分类数学;
关键词
modular lattice; modular element;

机译：模块化晶格;模块化元素;

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1. Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type [J] . Gein A. G., Shushpanov M. P. Siberian Mathematical Journal . 2015,第4期

机译：具有模块化类型属性的元素生成的晶格模块化的充分条件
2. On the embedding of the free lattice of rank 3 in the lattice freely generated by three completely right modular elements [J] . Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2017,第16期

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3. Modular and lower-modular elements of lattices of semigroup varieties [J] . V. Y. Shaprynskiı̌ Semigroup Forum . 2012,第1期

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Sufficient conditions for the modularity of the lattice generated by elements with properties of modular type

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