کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8896526 | 1630420 | 2018 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finiteness properties of direct products of algebraic structures
ترجمه فارسی عنوان
خواص سریع محصولات مستقیم ساختارهای
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We consider the preservation of properties of being finitely generated, being finitely presented and being residually finite under direct products in the context of different types of algebraic structures. The structures considered include Mal'cev algebras (including groups, rings and other classical algebras, as well as loops), idempotent algebras (including lattices), semigroups, and algebras in congruence modular varieties. We aim to identify as broad classes as possible in which the 'expected' preservation results (AÃB satisfies property P if and only if A and B satisfy P) hold, and to exhibit ways in which they may fail outside those classes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 494, 15 January 2018, Pages 167-187
Journal: Journal of Algebra - Volume 494, 15 January 2018, Pages 167-187
نویسندگان
Peter Mayr, Nik Ruškuc,