Association of consanguineous marriages with congenital anomalies Cousin marriages and birth defects

Congenital anomalies are a major health problem all over the world; especially it is important cause of deaths and birth defects, chronic illness and disability in infants. The major cause of this is consanguineous marriages. Generation of cousin marriages have significant association with congenital anomalies Objective: To find out the association of consanguineous marriages with congenital anomaliespresent at the time of birthMethods: A cross sectional study was conducted at District Head Quarter Hospital, Okarafrom May to August, 2018. 100 adult individuals aged between 19 to 55 years, with and without cousin marriage of both genders were consecutively enrolled. Participants were assessed through pre-tested questionnaire, with prior written informed consent. Unwilling married individuals and individuals from other hospitals were not selected Results: According to resultsthere was a significant association between generation of cousin marriages with congenital anomalies present at the time of birth, as p value was 0.002Conclusions: Study concluded that the generation of cousin marriages has significant association with congenital anomalies present at the time of birth and due to cousin marriage 59% of the couples had congenital abnormalities in their children and 85% had genetic disorders.

Stanley Depth and Sequentially Cohen- Macaulay Lexsegment Ideals

In the first chapter we give some basic definitions from commutative algebra. We give some results obtained in recent years for the Stanley depth of multigraded S-modules, where S = K[x1 , . . . , xn ] is a polynomial ring in n indeteminantes with coefficients in a field K. We also give some results regarding the progress towards the Stanley’s conjecture. In the second chapter, we show that if I ⊂ J be monomial ideals of a polynomial algebra S over a field. Then the Stanley depth of J/I is smaller or equal to the √ √ Stanley depth of J/ I. We give also an upper bound for the Stanley depth of the intersection of two primary monomial ideals Q, Q , which is reached if Q, Q √ √ are irreducible, ht(Q + Q ) is odd and Q, Q have no common variables. These results are proved in my paper [23]. In the third chapter, we give different bounds for the Stanley depth of a monomial ideal I of a polynomial algebra S over a field K. For example we show that the Stanley depth of I is less than or equal to the Stanley depth of any prime ideal associated to S/I. Also we show that the Stanley’s conjecture holds for I and S/I when the associated prime ideals of S/I are generated by disjoint sets of variables. These results are proved in my paper [24]. In the forth chapter, we give an upper bound for the Stanley depth of the edge ideal I of a k-partite complete graph and show that Stanley’s conjecture holds for I. Also we give an upper bound for the Stanley depth of the edge ideal of an s-uniform complete bipartite hypergraph. In this chapter we also give an upper bound for the Stanley depth of the edge ideal of a complete k-partite hypergraph and as an application we give an upper bound for the Stanley depth of a monomial ideal in a polynomial ring S. We give a lower and an upper bound for the cyclic module S/I associated to the complete k-partite hypergraph. These results are proved in our papers [26] and [27]. In the fifth chapter, the associated primes of an arbitrary lexsegment ideal I ⊂ S are determined. As application it is shown that S/I is a pretty clean module, therefore, S/I is sequentially Cohen-Macaulay and satisfies the Stanley’s conjecture. These results are proved in my paper [25].