کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497186 | 1630753 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Basic examples and extensions of symmetric rings
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Basic examples and extensions of symmetric rings Basic examples and extensions of symmetric rings](/preview/png/9497186.png)
چکیده انگلیسی
Symmetric rings were introduced by Lambek to unify sheaf representations of commutative rings and reduced rings. We continue the study of symmetric rings, discussing basic examples and extensions. From any given reduced ring we first construct a nonreduced symmetric ring, and observe the form of the minimal noncommutative symmetric ring of order 16 up to isomorphism. We next show that polynomial rings over symmetric rings need not be symmetric and that classical right quotient rings of right Ore symmetric rings are symmetric. We also construct more examples of symmetric rings and counterexamples to several naturally raised situations in the process.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 154-167
Journal: Journal of Pure and Applied Algebra - Volume 202, Issues 1â3, 1 November 2005, Pages 154-167
نویسندگان
Chan Huh, Hong Kee Kim, Nam Kyun Kim, Yang Lee,