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  1. No Access

    Article

    On Reduction Numbers of Products of Ideals

    Let R be a standard graded algebra over an infinite field \(\mathbb {K}\) K and M a finitely generated \({\mathbb Z}\) Z -graded R-module. Let \(I_1,\ldots I_m\) I 1 , … I m be graded ideals of R

    Dancheng Lu, Tongsuo Wu in Bulletin of the Iranian Mathematical Society (2020)

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    Article

    Zero divisors and prime elements of bounded semirings

    A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A bounded semiring is a semiring equipped with a compatible bounded partial ...

    Tongsuo Wu, Yuanlin Li, Dancheng Lu in Frontiers of Mathematics in China (2014)

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    Article

    Classification of some τ-congruence-free completely regular semigroups

    Let τ be an equivalence relation on a semigroup. We introduce τ-congruence-free semigroups, extending the notion of congruence-free semigroups, and classify all completely regular semigroups which are τ-congruenc...

    Houyi Yu, Zhengpan Wang, Tongsuo Wu, Meng Ye in Semigroup Forum (2012)

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    Article

    The Zero-divisor Graphs of Posets and an Application to Semigroups

    In this paper, we introduce the notion of a compact graph. We show that a simple graph is a compact graph if and only if G is the zero-divisor graph of a poset, and give a new proof of the main result in Halaš an...

    Dancheng Lu, Tongsuo Wu in Graphs and Combinatorics (2010)

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    Article

    The structure of zero-divisor semigroups with graph K n ○K 2

    This paper determines all commutative zero divisor semigroups whose zero divisor graph is a complete graph (finite or infinite), or a complete graph (finite or infinite) with one additional end vertex, and gi...

    Tongsuo Wu, Fan Cheng in Semigroup Forum (2008)

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    Article

    The structure of a class of Z-local rings

    A local ring R is called Z-local if J(R) = Z(R) and J(R)2 = 0. In this paper the structure of a class of Z-local rings is determined.

    Tongsuo Wu, Dancheng Lu in Science in China Series A: Mathematics (2006)

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    Article

    A New Graph Structure of Commutative Semigroups

    In this paper, a new zero-divisor graph $\overline{\G}(S)$ is defined and studied for a commutative semigroup $S$ with zero element. The properties and the structure of the graph are studied; for any complete ...

    Miao Zuo, Tongsuo Wu in Semigroup Forum (2005)

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    Article

    Finitely generated projective modules over exchange rings

    This paper studies finitely generated projective modules over exchange rings. We prove that cancellation holds inp(R), andK o (R) is completely determined by the continuous maps fr...

    Tongsuo Wu, Wenting Tong in manuscripta mathematica (1995)