In general, the term “shelf-stable product” refers to those products that do not require refrigeration or freezing for safety and acceptable organoleptic characteristics. Most often, the products are stored at “room temperature” (ambient). This shelf-stability also is often dependent upon the proper packaging to control oxidation and potential mold growth. The shelf-life for these types of prod...

We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one be...

A useful method of proving the nite decidability of an equationally de nable class V of algebras (i.e., variety) is to prove the decidability of the class of nite directly indecomposable members of V. The validity of this method relies on the well-known result of Feferman-Vaught: if a class K of rst-order structures is decidable, then so is the class f Q i<n Ai Ai 2 K (i < n); n 2 !g. In this p...