7 papers
Non commutative multidimensional stronger Central Sets Theorem
Dibyendu De, Sujan Pal
Hindman's theorem and van der Waerden's theorem are two classical Ramsey theoretic results, the first one deals with finite configurations and the second one deals with infinite co…
Polynomial extension of stronger central set theorem near zero
Sujan Pal, Anik Pramanick
Furstenberg introduced the notion of Central sets in 1981. Later in 1990 V. Bergelson and N. Hindman proved a different but an equivalent version of the central set theorem. In 200…
Abundance of progression in large set for non commutative semigroup
Sujan Pal
The notion of abundance of certain type of configuration in certain large sets was first proved by Furstenberg and Glazner in 1998. After that many author investigate abundance of…
Essential CR set near zero
Sujan Pal
Combinatorially Rich sets were introduced by Bergelson and Glasscock for commutative semigroup. Latter Hindman, Hosseini, Strauss and Tootkaboni extended the definition of Combinat…
A Study on Filter Version of Strongly Central Sets
Dibyendu De, Sujan Pal, Jyotirmoy Poddar
Using the notions of Topological dynamics, H. Furstenberg defined central sets and proved the Central Sets Theorem. Later V. Bergelson and N. Hindman characterized central sets in…
A combinatorial study on product of filter large sets
Sujan Pal, Jyotirmoy Poddar
Sets satisfying Central sets theorem and other Ramsey theoretic large sets were studied extensively in literature. Hindman and Strauss proved that product of some of these large se…
A Study Of Some Generalized Central Sets Theorem Along Phulara's Way
Sujan Pal, Jyotirmoy Poddar
The Central Sets Theorem near zero was originally proved by Hindman and Leader. Later a version of Central Sets Theorem was proved by De, Hindman and Strauss known to be the strong…