Zobrazeno 1 - 10
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pro vyhledávání: '"Nam, T. G."'
Autor:
Nam, T. G., Phuc, N. T.
In this paper, we provide the structure of Hopf graphs associated to pairs $(G, \mathfrak{r})$ consisting of groups $G$ together with ramification datas $\mathfrak{r}$ and their Leavitt path algebras. Consequently, we characterize the Gelfand-Kirillo
Externí odkaz:
http://arxiv.org/abs/2211.04084
In this article, we provide an explicit description of a set of generators for any ideal of an ultragraph Leavitt path algebra. We provide several additional consequences of this description, including information about generating sets for graded ide
Externí odkaz:
http://arxiv.org/abs/2109.10440
Autor:
Hazrat, R., Nam, T. G.
In this article, we realize ultragraph Leavitt path algebras as Steinberg algebras. This realization allows us to use the groupoid approach to obtain structural results about these algebras. Using skew product groupoid, we show that ultragraph Leavit
Externí odkaz:
http://arxiv.org/abs/2008.04668
We show that the endomorphism ring of any nonzero finitely generated projective module over the Leavitt path algebra $L_K(E)$ of an arbitrary graph $E$ with coefficients in a field $K$ is isomorphic to a Steinberg algebra. This yields in particular t
Externí odkaz:
http://arxiv.org/abs/1909.03964
Autor:
Anh, P. N., Nam, T. G.
Irreducible representations of both Leavitt and Cohn path algebras of an arbitrary digraph with coefficients in a commutative field is classified. They are constructed in several ways using both infinite paths on the right as well as direct limits or
Externí odkaz:
http://arxiv.org/abs/1903.00668
Autor:
Abrams, Gene, Nam, T. G.
We achieve an extremely useful description (up to isomorphism) of the Leavitt path algebra $L_K(E)$ of a finite graph $E$ with coefficients in a field $K$ as a direct sum of matrix rings over $K$, direct sum with a corner of the Leavitt path algebra
Externí odkaz:
http://arxiv.org/abs/1902.03641
In this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are e-injective, describe semirings all of whose projective semimodules a
Externí odkaz:
http://arxiv.org/abs/1608.02837
Autor:
Nam, T. G., Phuc, N. T.
In this paper, we give a matrix-theoretic criterion for the Leavitt path algebra of a finite graph has Invariant Basis Number. Consequently, we show that the Cohn path algebra of a finite graph has Invariant Basis Number, as well as provide some cert
Externí odkaz:
http://arxiv.org/abs/1606.04607
Autor:
Lopatkin, V., Nam, T. G.
In this paper, we give sharp bounds for the homological dimensions of the Leavitt path algebra $L_K(E)$ of a finite graph $E$ with coefficients in a commutative ring $K$, as well as establish a formula for calculating the homological dimensions of $L
Externí odkaz:
http://arxiv.org/abs/1605.03841
We present a result of P. Ara which establishes that the Unbounded Generating Number property is a Morita invariant for unital rings. Using this, we give necessary and sufficient conditions on a graph $E$ so that the Leavitt path algebra associated t
Externí odkaz:
http://arxiv.org/abs/1603.09695