Theory of matrix factorizations is useful to study hypersurfaces in commutative algebra. To noncommutative hypersurfaces, which are important objects algebraic geometry, we introduce a notion factorization for an arbitrary nonzero non-unit element ring. First show that the category graded invariant under operation called twist (this result generalization by Cassidy-Conner-Kirkman-Moore). Then g...

The concept of index and co-index a paracompact Hausdorff space X equipped with free involutions relative to the antipodal action on spheres were introduced by Conner Floyd [2] . In this paper, we extend notion for G -spaces , where is finitistic = S 1 (with complex multiplication) 3 quaternionic multiplication). We prove that less than or equal mod 2 cohomology also compute ring orbit / whose ...

The highly dynamic, fine root component of forested wetland ecoi&g fine root dynamics is a challenging endeavor in any system, but the dilficulties are particularly evident in forested floodplains where frequent hydrologic fluctuations directly influence fine root dynamics. Fine root (53 mm) biomass, production, and turnover were estimated for three soils exhibiting different drainage patterns ...

We use a representation of graded twisted tensor product K[x] with K[y] in $L(K^{\mathbb {N}_{0}})$ order to obtain nearly complete classification these products via infinite matrices. There is one particular example and three main cases: quadratic algebras classified Conner Goetz (J. Noncommut. Geom. 15(1), 41–78, 2021), family called A(n, d, a) the n + 1-extension property for ? 2, third case...

Tramlocation of’ wild birds is a potential conservation stl-ate&y lix the cndartgerc~i red-cock;rded woodpecker (Picoi&s bor~uli,~), We developed and rcstcd 8 larg~~-sc;& tramslocation stratchy models for a regional redcockaded woodpeckrr rcintrodurtion program. The purpose of the reintroduction program is to increase tbc number of red-cockaded woodpeckers by moving subadult birds liom large po...

Scent stations are assumed to be a simple and economical method to index furbearer populations, but recent literature challenges the reliability of this technique. We examined several variables that could affect visitation rates of 2 commonly indexed species. Raccoon (Procyon lotor) and bobcat (Felis rufus) visitation rates of scent stations were monitored on the Hatchie National Wildlife Refug...