رده‌بندی ابرحلقه‌های کراسنر (و کلاس‌های جدیدی از ابرحلقه‌ها) از مرتبه کمتر از چهار و گروه‌های خودریختی آن‌ها

نویسندگان
1 دانشگاه یزد
2 دانشگاه پیام نور
چکیده
در این مقاله، تمامی ابرحلقه‌های کراسنر و کلاس‌های جدیدی از ابرحلقه‌ها (ابرحلقه کراسنر با توزیع‌پذیری ضعیف، ابرحلقه کراسنر شمولی چپ، ابرحلقه کراسنر شمولی راست، ابرشبه‌حلقه کراسنر چپ و ابرشبه‌حلقه کراسنر راست) با مرتبه‌های کمتر از چهار را مشخص کرده، سپس در حد یکریختی دسته‌بندی می‌کنیم و در نهایت گروه‌های یکریختی آن‌ها را به دست می آوریم.
کلیدواژه‌ها

عنوان مقاله English

Classification of Krasner hyperrings(and new classes of hyperrings) of order less than four and their automorphismes groups

نویسندگان English

Yaser Vaziri 1
Mansour Ghadiri 1
Saeed Mirvakili 2
چکیده English

In this paper, we partition, enumerate and classify Krasner hyperrings and new classes of hyperrings (weak distributive, left inclusion distributive, right inclusion distributive, left near, right near) up to isomorphism of orders less than four and then determine their automorphism groups.

کلیدواژه‌ها English

Krasner hyperring
weak distributive Krasner hyperring
(right) left inclusion distributive Krasner hyperring
(right) left near Krasner hyperrin
classification
polygroup
Semigroup
automorphism
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