4 citations · 10 across the 21 of their papers we have counts for
22 papers
Higher-Dimensional Symbolic Dynamics: A Textile Framework For 3-graphs
Roozbeh Hazrat, Promit Mukherjee, Sujit Kumar Sardar
Textile systems are best known to model two-dimensional shifts of finite type. In this article, we associate a discrete algebra with a textile system and provide a groupoid model f…
Positive Instantial Neighbourhood logic: Typed Completeness and Admissible-Open Representation
Litan Kumar Das, Anupam Khanra, Sujit Kumar Sardar
Instantial neighbourhood logic is a modal language for neighbourhood frames in which formulas can express information about the kinds of worlds occurring inside a neighbourhood of…
Maximal-Hull -Ideals, Congruence Closures, and Coherent Frames of Commutative Semirings
Pubali Sengupta, Amartya Goswami, Pronay Biswas +1
We develop a spectral theory of -ideals for commutative semirings. The lattice of -ideals is a \emph{coherent frame} for every commutative semiring -- u…
On the Subtractive Ideal Structure of Commutative Semirings
Pubali Sengupta, Amartya Goswami, Pronay Biswas +1
In the theory of commutative semirings, the lack of additive inverses creates a structural divergence between ideals and congruences that does not exist in ring theory. The aim of…
On Union of Regular Near-rings
Rajlaxmi Mukherjee, Tuhin Manna, Kamalika Chakraborty +1
'A semigroup is completely regular if and only if it is a union of groups'- an analogue of this structure theorem of completely regular semigroup has been obtained in the setting o…
Higher-rank graphs and the graded -theory of Kumjian-Pask algebras
Roozbeh Hazrat, Promit Mukherjee, David Pask +1
This paper lays out the foundations of graded -theory for Leavitt algebras associated with higher-rank graphs, also known as Kumjian-Pask algebras, establishing it as a potentia…