Recall that a commutative domain R in which every finitely generated ideal is principal is called a Bézout domain. By definition, a noetherian Bézout domain is a principal ideal domain. Several examples of non-noetherian Bézout domains are listed in [1], 243-246. Recall also that a commutative domain R is called an Elementary Divisor domain if, given any matrix A with coefficients in R, there e...

Submit Manuscript | http://medcraveonline.com Abbreviations: ECM: Extracellular Matrix; GF: Growth Factors; MMPs: Matrix Metalloproteinases; LAMA1-5: Laminin Alpha1-5 (α1-5); LAMB1-3: Laminin Beta1-3 (β1-3); LAMC1-3: Laminin Gamma 1-3 (γ1-3); Laminin-111: Laminin Heterotrimeric Molecule Containing a single α1, β1, and γ1 chain; LE domains: Epidermal Growth Factor-like Domain; G Domain: Globular...

In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...