Zobrazeno 1 - 10
of 429
pro vyhledávání: '"clean ring"'
Autor:
Rand Alneamy, Nazar Shuker
Publikováno v:
Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 18, Iss 1, Pp 7-9 (2024)
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute. Such rings fundamental properties are given
Externí odkaz:
https://doaj.org/article/74d1e8f2762d4e9e99b35edc8d9c0819
Autor:
P. Prabakara, Florentin Smarandache
Publikováno v:
Neutrosophic Sets and Systems, Vol 59, Pp 296-305 (2023)
A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element a
Externí odkaz:
https://doaj.org/article/0819190594bc4a22bd4e0a4505391011
Autor:
Saravanan Viswanathan
Publikováno v:
Ratio Mathematica, Vol 48, Iss 0 (2023)
In this article, we introduce the concept of feebly r-clean ring and feebly ∗-r-clean ring. A ring R is defined to be feebly r-clean, if every element a can be written as a = r + e − f, where u is a regular and e, f are orthogonal idempotents and
Externí odkaz:
https://doaj.org/article/a4ad74898ab84f29afc366f6671e0cb0
Publikováno v:
Ratio Mathematica, Vol 48, Iss 0 (2023)
In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the $m$-
Externí odkaz:
https://doaj.org/article/238a54f5e2d6446f9c6d1c0752941c76
Autor:
Fatemeh Rashedi
Publikováno v:
Mathematics Interdisciplinary Research, Vol 8, Iss 1, Pp 65-70 (2023)
In this paper, we offer a new generalization of the neat ring that is called a w-neat ring. A ring $ R $ is said to be weakly clean if every $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in$ U$(R) $ and $ e\in$ I
Externí odkaz:
https://doaj.org/article/f992adf26b6f45ada9e62f60ea1551be
Autor:
A Aruldoss, Selvaraj Chelliah
Publikováno v:
Ratio Mathematica, Vol 47, Iss 0 (2023)
Let f : A −→ B and g : A −→ C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively such that f −1(K) = g−1(K′). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (K,
Externí odkaz:
https://doaj.org/article/26e67809dede4b82b676a31d8de763a0
Autor:
Călugăreanu Grigore, Pop Horia F.
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 63-89 (2022)
A ring is called negative clean if the negative (i.e., the additive inverse) of each clean element is also clean. Clean rings are negative clean.
Externí odkaz:
https://doaj.org/article/ae58e79dc17b4187bf0973e4077473f8