Introduction. Lesieur and Croisot in [7] have generalized the classical primary decomposition theory for Noetherian modules over commutative rings to the tertiary decomposition theory for Noetherian modules over rings, which are not necessarily commutative, but which have a certain chain condition on ideals. Riley has shown in [8] that for finitely generated unitary modules over left Noetherian...

Abstract We address primary decomposition conjectures for knot concordance groups, which predict direct sum decompositions into parts. show that the smooth group of topologically slice knots has a large subgroup are true and there infinitely many parts, each infinite rank. This supports knots. also prove analogues associated graded groups bipolar filtration Among ingredients proof, we use amena...

We investigate the structure of ideals generated by binomials (polynomials with at most two terms) and the schemes and varieties associated to them. The class of binomial ideals contains many classical examples from algebraic geometry, and it has numerous applications within and beyond pure mathematics. The ideals defining toric varieties are precisely the binomial prime ideals. Our main result...

A one-dimensional model has been developed to investigate the thermal decomposition of rocket grade hydrogen peroxide (HP) in a stream of previously decomposed HP products. The model developed assumes steady, one-dimensional adiabatic flow and includes basic mass balances, droplet evaporation, gasphase decomposition kinetics, droplet dynamics, and control volume conservation laws. The code is a...