Update AbstractAlgebra requirement from 0.50 to 0.50, 0.51 in the all-julia-packages group across 1 directory

[dependabot]

Updates the requirements on AbstractAlgebra to permit the latest version.
Updates AbstractAlgebra to 0.51.0

Release notes

Sourced from AbstractAlgebra's releases.

v0.51.0

AbstractAlgebra v0.51.0

Breaking changes

!These changes break compatibility from previous versions!

New or extended functionality

• #2538 Add methods to construct multivariate terms

Miscellaneous changes

• #1853 Change == to error by default (instead of returning false) when comparing elements for which no equality test has been implemented
• #2283 Remove similar and zero methods for MatRingElem which took a row and column count as argument, despite matrix ring elements being square
• #2443 Change map_from_func to return a MapFromFunc (migrated from Hecke.jl) instead of a Generic.FunctionalMap. This results in a changed argument order.
• #2478 Remove change_base_ring for universal rings
• #2499 Change matrix_repr for Perm and YoungTableau to return a dense matrix by default (can be overridden with new first argument); make SparseArrays a weak dependency
• #2524 Remove unused IdealElem type

Other fixed bugs

• #2569 Fix eltype of coefficient/term/monomial iterators for FreeAssociativeAlgebras

Full diff since v0.50.3

Changelog

Sourced from AbstractAlgebra's changelog.

0.51.0 - 2026-10-06

Breaking changes

!These changes break compatibility from previous versions!

New or extended functionality

• #2538 Add methods to construct multivariate terms

Miscellaneous changes

• #1853 Change == to error by default (instead of returning false) when comparing elements for which no equality test has been implemented
• #2283 Remove similar and zero methods for MatRingElem which took a row and column count as argument, despite matrix ring elements being square
• #2443 Change map_from_func to return a MapFromFunc (migrated from Hecke.jl) instead of a Generic.FunctionalMap. This results in a changed argument order.
• #2478 Remove change_base_ring for universal rings
• #2499 Change matrix_repr for Perm and YoungTableau to return a dense matrix by default (can be overridden with new first argument); make SparseArrays a weak dependency
• #2524 Remove unused IdealElem type

Other fixed bugs

• #2569 Fix eltype of coefficient/term/monomial iterators for FreeAssociativeAlgebras

0.50.3 - 2026-09-29

New or extended functionality

• #1947 Add conformance tests for is_unit and is_nilpotent
• #2483 More symbol based evaluate methods
• #2493 Add iterator for all free modules over finite rings
• #2533 More mutable arithmetic for FreeAssociativeAlgebraElem
• #2555 Add is_constant and constant_coefficient for Laurent and Puiseux polynomials

Fixed bugs that returned incorrect results

• #2532 Fix neg!/mul! of FreeAssociativeAlgebraElem mutating shared coefficients
• #2542 Fix rank_interpolation degree bound for zero rows
• #2544 Fix potentially wrong results in rank_interpolation_mc

Fixed bugs that resulted in unexpected errors

• #2521 Fix evaluate of factored fractions over non-fields
• #2530 Fix rank/dim/vector_space_dim to work for more FPModules over fields

Other fixed bugs

• #2477 Remove unusable method evaluate(::MPolyRingElem, ::Integer)

0.50.2 - 2026-07-31

... (truncated)

Commits

• 2461643 Set version to v0.51.0 (#2571)
• 43fb6ef Update changelog (#2568)
• cb666b7 Bound rank_interpolation_mc minors by total degree (#2546)
• 19a089f Fix eltype of coefficient/term/monomial iterators for FreeAssociativeAlgebr...
• 04ea683 Change map_from_func to return a MapFromFunc (migrated from Hecke.jl) ins...
• 5370a1d Fix one-line show for PuiseuxMPolyRing (#2563)
• 0c45467 Change == to error by default (instead of returning false) when comparing...
• 185c2c0 Type the range parameters of rand methods (#2509)
• e3f6763 Remove change_base_ring for universal rings (#2478)
• 229a0ba Delete matrix md (#2469)
• Additional commits viewable in compare view

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[dependabot]

Looks like AbstractAlgebra is updatable in another way, so this is no longer needed.