group ring meaning in Tamil
குல வளையம்
group ring in Tamil: குல வளையம். In English, group ring means given ring R with identity not equal to zero, and group G=g_1,g_2,...,g_n, the group ring RG has elements of the form a_1g_1+a_2g_2+...+a_ng_n (where a_i isin R) such that the sum of a_1g_1+a_2g_2+...+a_ng_n and b_1g_1+b_2g_2+...+b_ng_n is (a_1+b_1)g_1+(a_2+b_2)g_2+...+(a_n+b_n)g_n and the product is ∑ₖ₌₁ⁿ(∑_(g_ig_j=g_k)a_ib_j)g_k.
Tamil words for group ring
- குல வளையம்
English meaning of group ring
- noun Given ring R with identity not equal to zero, and group G=g_1,g_2,...,g_n, the group ring RG has elements of the form a_1g_1+a_2g_2+...+a_ng_n (where a_i isin R) such that the sum of a_1g_1+a_2g_2+...+a_ng_n and b_1g_1+b_2g_2+...+b_ng_n is (a_1+b_1)g_1+(a_2+b_2)g_2+...+(a_n+b_n)g_n and the product is ∑ₖ₌₁ⁿ(∑_(g_ig_j=g_k)a_ib_j)g_k.
Synonyms of group ring
- group algebra
Questions about group ring in Tamil
- What is the meaning of group ring in Tamil?
- Group ring in Tamil is குல வளையம்.
- group ring என்பதன் தமிழ் அர்த்தம் என்ன?
- Group ring: குல வளையம்.
- What does group ring mean in English?
- Group ring means given ring R with identity not equal to zero, and group G=g_1,g_2,...,g_n, the group ring RG has elements of the form a_1g_1+a_2g_2+...+a_ng_n (where a_i isin R) such that the sum of a_1g_1+a_2g_2+...+a_ng_n and b_1g_1+b_2g_2+...+b_ng_n is (a_1+b_1)g_1+(a_2+b_2)g_2+...+(a_n+b_n)g_n and the product is ∑ₖ₌₁ⁿ(∑_(g_ig_j=g_k)a_ib_j)g_k.
Source and license
Tamil words from Tamil Wiktionary: group ring (page history and authors). English meanings adapted from Wiktionary: group ring (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the Tamil words and English meanings and added links. Wiktionary data of 2026-09-02.
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Cite this page: “group ring meaning in Tamil.” Word.ws, https://word.ws/tamil/group_ring. Based on Wiktionary, CC BY-SA 4.0.