1 citations · 1 across the 11 of their papers we have counts for
17 papers
Making Weak Interlayer Excitons Absorb: Manipulating the Effective Oscillator Strength via Purcell Engineering of Critical Coupling
Saroj Poudyal, Anabel Atash Kahlon, Michael Klein +7
Interlayer excitons (IXs) in transition metal dichalcogenide bilayers possess unique dipolar properties, providing a path for exploring correlated many-body phases, electrically tu…
An explicit construction of a limit variety of groups
Zidong Gao, Yilin Zhou
We construct an explicit countable group \(G_*=N(R)\rtimes A\) whose generated variety is a limit variety of groups: it has no finite identity basis, whereas every proper subvariet…
Equational Theories of Interval Semirings of Posets
Zidong Gao, Yilin Zhou
We study the equational theory and subvariety structure of the ai-semiring variety $\V_\infty$ generated by all flat semirings , where the letters \(a_i\) are pai…
The finite basis problem for flat semirings , and
Zidong Gao, Miaomiao Ren, Yilin Zhou
We study the finite basis problem for flat semirings of the forms \(S_c(W)\), \(M_c(W)\), and \(M(W)\), where \(W\) is a nonempty set of words in a free commutative semigroup, a fr…
Finite Bases for Truncated Cyclic Group Flat Semirings with Two Independent Parameters
Qirui Ma, Zidong Gao
For positive integers \(m,n\), let \[ A_{m,n}=(\{1,\ldots,m\}\times\Z_n)\cup\{0\} \] have flat addition and multiplication truncated at degree \(m\). We prove that \(A_{m,n}\) is f…
Finite bases and joins for semirings defined by the divisibility order
Xiaolei Shao, Zidong Gao
We study additively idempotent semirings obtained from commutative words by equipping their subwords with the divisibility order. Every finite semiring associated with a power of o…
Nonfinitely based intervals of power semiring varieties
Xiaolei Shao, Zidong Gao
We study intervals in the lattice of additively idempotent semiring varieties associated with power semirings of finite groups. We prove that every variety lying above the nonempty…
A Continuum in the Lattice of Semiring Varieties: The Interval
Zidong Gao, Miaomiao Ren, Xianzhong Zhao
For an additively idempotent semiring (ai-semiring) , let denote the ai-semiring obtained from by adjoining a new element . In this paper, we develop an approach to…
Explicit equational bases for the power semirings of
Mengya Yue, Miaomiao Ren, Zidong Gao
For every semigroup , the set of all subsets of and the set of all nonempty subsets of form additively idempotent semirings under s…
A nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit variety
Xiaolei Shao, Miaomiao Ren, Zidong Gao
We present an explicit infinite equational basis for the six-element additively idempotent semiring and prove that is nonfinitely based. We also give a complete descr…
The finite basis problem for the power semirings of finite groups
Zidong Gao, Miaomiao Ren, Xiaolei Shao +1
For any group , the set of all nonempty subsets of forms an additively idempotent semiring under set-theoretic union and elementwise multiplication, called the power semirin…
The finite basis problem for the flat semirings
Zidong Gao, Miaomiao Ren, Xianzhong Zhao
We focus on the finite basis problem for flat semirings of the form , where is an arbitrary set of nonempty words. We prove that generates a Cross variety (and hen…
A finitely based finite semiring generates a variety with continuum many subvarieties
Zidong Gao
This paper establishes the existence of a finitely based finite semiring whose variety contains a continuum of subvarieties; such a variety is said to be of type \(2^{\aleph_0}\).…
Two nonfinitely based additively idempotent semirings of order four
Mengya Yue, Miaomiao Ren, Zidong Gao
We establish two sufficient conditions for an additively idempotent semiring to be nonfinitely based. As applications, we prove that two specific -element additively idempotent…
The Interval of Semiring Varieties Has the Cardinality of the Continuum
Zidong Gao, Miaomiao Ren, Mengya Yue
We prove that the interval in the lattice of additively idempotent semiring (ai-semiring) varieties has the cardinality of the continuum,where…
The flat semirings with nilpotent multiplicative reducts
Zidong Gao, Miaomiao Ren
In this paper, we focus on the variety generated by all flat semirings with -nilpotent multiplicative reducts. By introducing graph semirings, we characterize al…
The finite basis problem for additively idempotent semirings that relate to S_7
Zidong Gao, Marcel Jackson, Miaomiao Ren +1
The -element additively idempotent semiring is a nonnitely based algebra of the smallest possible order. In this paper we study the nite basis problem for some additively…