We introduce the notion of ideals in implicative semigroups, and then state the characterizations of the ideals. 2000 Mathematics Subject Classification. 20M12, 06F05, 06A06, 06A12.

We prove that a weakly Dirac-harmonic map from a Riemann spin surface to a compact hypersurface N ⊂ R is smooth. 2000 Mathematics Subject Classification: 58J05, 53C27.

In this paper we characterize v− invariance of the sequence spaces ∆2 ( Λ2 ) , and ∆2 ( χ2 ) . 2000 Mathematics Subject Classification: 40A05,40C05,40D05.

In this paper we study the notion of connectedness in ideal topological spaces. AMS Mathematics Subject Classification (2000): 54A10, 54A05, 54A20

We summarize some of the recent developments which link certain problems in combinatorial theory related to random growth to random matrix theory. 2000 Mathematics Subject Classification: 60C05.

A common coincidence point theorem for R-weakly commuting mappings is obtained. Our result extend several ones existing in literature. 2000 Mathematics Subject Classification. 54H25.

The aim of this note is to use a fixed point theorem to prove results for variational-like inequalities for pseudomonotone operators. 2000 Mathematics Subject Classification. 47H04, 47H10.

The Bernstein’s cubature formula is revisited and the evaluation of it’s remainder term is corrected. 2000 Mathematics Subject Classification: 65D32, 41A10, 41A63

We consider the problem of transition from a weakly separated family of probability measures to a strictly separated family. 2000 Mathematics Subject Classification: 28A05, 28A20, 28D05.

We formulate a non-commutative analog of the Brascamp-Lieb inequality, and prove it in several concrete settings. 2000 Mathematics Subject Classification: 47C15, 15A45, 26D15