Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Tsit-Yuen Lam"'
Publikováno v:
Journal of Pure and Applied Algebra. 222:1489-1511
Lifting idempotents modulo ideals is an important tool in studying the structure of rings. This paper lays out the consequences of lifting other properties modulo ideals, including lifting of von Neumann regular elements, lifting isomorphic idempoten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f75ff5f9642cb0993e086b36eba3d536
https://doi.org/10.1016/j.jpaa.2017.07.008
https://doi.org/10.1016/j.jpaa.2017.07.008
Publikováno v:
International Journal of Algebra and Computation. 26:1177-1198
In this paper, we study exchange rings and clean rings [Formula: see text] with [Formula: see text] (or otherwise). Analogues of a theorem of Camillo and Yu characterizing clean and strongly clean rings with [Formula: see text] are obtained for such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dddc6457ea82cc78cc7df1d9d4ce9dd3
https://doi.org/10.1142/s0218196716500491
https://doi.org/10.1142/s0218196716500491
Autor:
Tsit-Yuen Lam, Peter V. Danchev
Publikováno v:
Publicationes Mathematicae Debrecen. 88:449-466
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b5401ac4dcc84adc547b064ca392d01
https://doi.org/10.5486/pmd.2016.7405
https://doi.org/10.5486/pmd.2016.7405
Publikováno v:
Transactions of the American Mathematical Society. 369:495-516
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d0869a896ee0f21f921dd3cc5ad5fb3
https://doi.org/10.1090/tran6652
https://doi.org/10.1090/tran6652
Autor:
Tsit Yuen Lam, Dinesh Khurana
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd7c7fcb9bd921b94a61e0d2079a5bd4
http://arxiv.org/abs/1808.02308
http://arxiv.org/abs/1808.02308
Publikováno v:
Algebras and Representation Theory. 18:931-940
For any element a in an exchange ring R, we show that there is an idempotent \(\,e\in aR\cap R\,a\,\) such that \(\,1-e\in (1-a)\,R\cap R\,(1-a)\). A closely related result is that a ring R is an exchange ring if and only if, for every a∈R, there e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::171c55ab3aa0c6100f320c5473776403
https://doi.org/10.1007/s10468-015-9524-0
https://doi.org/10.1007/s10468-015-9524-0
Publikováno v:
Communications in Algebra. 43:1742-1751
It is well known that every uniquely clean ring is strongly clean. In this article, we investigate the question of when this result holds element-wise. We first construct an example showing that uniquely clean elements need not be strongly clean. How
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6be348f5cc6aa1b0904433b8db3339e5
https://doi.org/10.1080/00927872.2013.879158
https://doi.org/10.1080/00927872.2013.879158
Publikováno v:
Journal of Algebra. 406:154-170
We study the interplay between the classes of right quasi-Euclidean rings and right K-Hermite rings, and relate them to projective-free rings and Cohn's GE2-rings using the method of noncommutative Euclidean divisions and matrix factorizations into i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6027bee97e53da5748d7199fb4f20326
https://doi.org/10.1016/j.jalgebra.2014.02.009
https://doi.org/10.1016/j.jalgebra.2014.02.009
Publikováno v:
Journal of Algebra and Its Applications. 19:2050208
A clean decomposition [Formula: see text] in a ring [Formula: see text] (with idempotent [Formula: see text] and unit [Formula: see text]) is said to be special if [Formula: see text]. We show that this is a left-right symmetric condition. Special cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0441932993b0dcfba4d8ba8322892fbf
https://doi.org/10.1142/s0219498820502084
https://doi.org/10.1142/s0219498820502084
Autor:
Tsit Yuen Lam, Pace P. Nielsen
Publikováno v:
Journal of Algebra. 397:91-110
For any ring element α ∈ R , we study the group of inner annihilators IAnn ( α ) = { p ∈ R : α p α = 0 } and the set I ( α ) of inner inverses of α. For any Jacobson pair α = 1 − a b and β = 1 − b a , the groups A = IAnn ( α ) and B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7621f4250cc07c9b8a88a358e299767d
https://doi.org/10.1016/j.jalgebra.2013.08.023
https://doi.org/10.1016/j.jalgebra.2013.08.023