Commit 2023-08-14 05:39 c769b9d8
View on Github →feat: add definitions of degrees of AddMonoidAlgebras (#6260) This PR defines
- the
supDegree
of anAddMonoidAlgebra
, graded by aSemilatticeSup
; - the
infDegree
of anAddMonoidAlgebra
, graded by aSemilatticeInf
; themaxDegree
of anAddMonoidAlgebra
, graded by aLinearOrder
with a bottom element;theIt also proves that under addition and multiplication in theminDegree
of anAddMonoidAlgebra
, graded by aLinearOrder
with a top element.AddMonoidAlgebra
, each degree behaves as expected. The lemmas are there simply to give a sample usage of the new definition. The correspondingmathlib3
PR wasnot-too-late
and closed unmerged.