نتایج جستجو برای: idempotent matrix
تعداد نتایج: 366386 فیلتر نتایج به سال:
We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety. It is also shown that simple and semi-left-exact reflections into subvarieties of universal algebras are the same. It then follows that a reflection of a variety of universal algebras into an idempotent subvariety has stable units...
A number of combinatorial problems are treated using properties of abelian nilpotentand idempotent-generated subalgebras of Clifford algebras. For example, the problem of deciding whether or not a graph contains a Hamiltonian cycle is known to be NP-complete. By considering entries of Λ, where Λ is an appropriate nilpotent adjacency matrix, the k-cycles in any finite graph are recovered. Within...
a ring $r$ is strongly clean provided that every element in $r$ is the sum of an idempotent and a unit that commutate. let $t_n(r,sigma)$ be the skew triangular matrix ring over a local ring $r$ where $sigma$ is an endomorphism of $r$. we show that $t_2(r,sigma)$ is strongly clean if and only if for any $ain 1+j(r), bin j(r)$, $l_a-r_{sigma(b)}: rto r$ is surjective. furt...
We show that if $R$ is a ring with an arbitrary idempotent $e$ such that $eRe$ and $(1-e)R(1-e)$ are both strongly nil-clean rings, then $R/J(R)$ is nil-clean. In particular, under certain additional circumstances, $R$ is also nil-clean. These results somewhat improves on achievements due to Diesl in J. Algebra (2013) and to Koc{s}an-Wang-Zhou in J. Pure Appl. Algebra (2016). ...
Abstract—A systematic way of constructing Grassmannian codes endowed with the subspace distance as lifts of matrix codes over the prime field Fp is introduced. The matrix codes are Fp-subspaces of the ring M2(Fp) of 2 × 2 matrices over Fp on which the rank metric is applied, and are generated as onesided proper principal ideals by idempotent elements of M2(Fp). Furthermore a weight function on ...
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