کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414447 1630491 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite Gröbner-Shirshov bases for Plactic algebras and biautomatic structures for Plactic monoids
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Finite Gröbner-Shirshov bases for Plactic algebras and biautomatic structures for Plactic monoids
چکیده انگلیسی

This paper shows that every Plactic algebra of finite rank admits a finite Gröbner-Shirshov basis. The result is proved by using the combinatorial properties of Young tableaux to construct a finite complete rewriting system for the corresponding Plactic monoid, which also yields the corollaries that Plactic monoids of finite rank have finite derivation type and satisfy the homological finiteness properties left and right FP∞. Also, answering a question of Zelmanov, we apply this rewriting system and other techniques to show that Plactic monoids of finite rank are biautomatic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 423, 1 February 2015, Pages 37-53
نویسندگان
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