Index of /doc/OLD/Macaulay2-1.21/share/Macaulay2/NCAlgebra/examples

	Name	Last modified	Size	Description
	Parent Directory		-
	___N__C__Polynomial__Ring.out	2021-09-25 15:35	93
	_numgens_lp__N__C__Ring_rp.out	2021-09-25 15:35	121
	_gb__From__Output__File.out	2021-09-25 15:35	149
	_ideal_lp__N__C__Polynomial__Ring_rp.out	2021-09-25 15:35	149
	_size_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	176
	_generators_lp__N__C__Ring_rp.out	2021-09-25 15:35	183
	_to__String_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	191
	_ring_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	199
	_lead__Coefficient_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	204
	_lead__Monomial_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	206
	_lead__Term_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	210
	_monomials_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	217
	_ambient_lp__N__C__Quotient__Ring_rp.out	2021-09-25 15:35	223
	_ring_lp__N__C__Matrix_rp.out	2021-09-25 15:35	233
	_support_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	236
	_base__Name_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	247
	_is__Constant_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	260
	_terms_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	265
	_opposite__Ring.out	2021-09-25 15:35	303
	_central__Elements.out	2021-09-25 15:35	311
	_coefficient__Ring_lp__N__C__Ring_rp.out	2021-09-25 15:35	311
	_degree_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	330
	_ideal_lp__N__C__Quotient__Ring_rp.out	2021-09-25 15:35	330
	_free__Product.out	2021-09-25 15:35	331
	___N__C__Matrix_sp_vb_sp__N__C__Matrix.out	2021-09-25 15:35	336
	_nc__Matrix.out	2021-09-25 15:35	339
	_quadratic__Closure.out	2021-09-25 15:35	353
	___N__C__Ring__Map_sp__N__C__Ideal.out	2021-09-25 15:35	355
	_use_lp__N__C__Ring_rp.out	2021-09-25 15:35	359
	_ore__Extension.out	2021-09-25 15:35	365
	___List_sp_sl_sp__N__C__Ring__Map.out	2021-09-25 15:35	372
	_kernel__Component.out	2021-09-25 15:35	376
	_is__Central.out	2021-09-25 15:35	377
	___N__C__Ring__Map_sp_at_at_sp__N__C__Ring__Map.out	2021-09-25 15:35	379
	_ore__Ideal.out	2021-09-25 15:35	388
	___N__C__Matrix_sp_vb_vb_sp__N__C__Matrix.out	2021-09-25 15:35	406
	_nc__Left__Ideal.out	2021-09-25 15:35	411
	_nc__Ideal.out	2021-09-25 15:35	413
	_nc__Right__Ideal.out	2021-09-25 15:35	414
	_to__N__C__Ring.out	2021-09-25 15:35	415
	_-_sp__N__C__Matrix.out	2021-09-25 15:35	423
	_ring_lp__N__C__Ideal_rp.out	2021-09-25 15:35	455
	_ring_lp__N__C__Left__Ideal_rp.out	2021-09-25 15:35	455
	_ring_lp__N__C__Right__Ideal_rp.out	2021-09-25 15:35	459
	___N__C__Ring__Map_sp_pl_sp__N__C__Ring__Map.out	2021-09-25 15:35	467
	_gdd__Kernel.out	2021-09-25 15:35	475
	_homog__Dual.out	2021-09-25 15:35	496
	_generators_lp__N__C__Ideal_rp.out	2021-09-25 15:35	501
	_generators_lp__N__C__Left__Ideal_rp.out	2021-09-25 15:35	501
	___N__C__Matrix_sp_st_sp__Ring__Element.out	2021-09-25 15:35	504
	___Ring__Element_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	504
	_generators_lp__N__C__Right__Ideal_rp.out	2021-09-25 15:35	505
	___N__C__Matrix_sp_st_sp__Z__Z.out	2021-09-25 15:35	511
	___N__C__Ring__Map_sp__N__C__Ring__Element.out	2021-09-25 15:35	511
	___Z__Z_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	511
	_to__M2__Ring.out	2021-09-25 15:35	516
	_is__Left__Regular.out	2021-09-25 15:35	523
	___N__C__Matrix_sp^_sp__List.out	2021-09-25 15:35	525
	_set__Weights.out	2021-09-25 15:35	530
	___N__C__Matrix_sp_st_sp__N__C__Ring__Element.out	2021-09-25 15:35	531
	___N__C__Ring__Element_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	531
	___N__C__Matrix_sp_st_sp__Q__Q.out	2021-09-25 15:35	532
	___Q__Q_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	533
	_hilbert__Bergman.out	2021-09-25 15:35	541
	___N__C__Matrix_sp_us_sp__List.out	2021-09-25 15:35	551
	___N__C__Matrix_sp_pl_sp__N__C__Matrix.out	2021-09-25 15:35	552
	_ambient_lp__N__C__Ring__Map_rp.out	2021-09-25 15:35	558
	_matrix_lp__N__C__Ring__Map_rp.out	2021-09-25 15:35	559
	___N__C__Matrix_sp-_sp__N__C__Matrix.out	2021-09-25 15:35	561
	_transpose_lp__N__C__Matrix_rp.out	2021-09-25 15:35	564
	_is__Normal_lp__N__C__Ring__Element_rp.out	2021-09-25 15:35	573
	_is__Well__Defined_lp__N__C__Ring__Map_rp.out	2021-09-25 15:35	577
	___List_sp_st_sp__N__C__Ring__Element.out	2021-09-25 15:35	578
	___N__C__Ring__Element_sp_st_sp__List.out	2021-09-25 15:35	578
	_nc__Map.out	2021-09-25 15:35	593
	___N__C__Left__Ideal_sp_pl_sp__N__C__Left__Ideal.out	2021-09-25 15:35	599
	___N__C__Ideal_sp_pl_sp__N__C__Ideal.out	2021-09-25 15:35	609
	___N__C__Right__Ideal_sp_pl_sp__N__C__Right__Ideal.out	2021-09-25 15:35	609
	_is__Commutative_lp__N__C__Ring_rp.out	2021-09-25 15:35	609
	_basis_lp__Z__Z_cm__N__C__Left__Ideal_rp.out	2021-09-25 15:35	614
	_basis_lp__Z__Z_cm__N__C__Right__Ideal_rp.out	2021-09-25 15:35	619
	_entries_lp__N__C__Matrix_rp.out	2021-09-25 15:35	632
	_lift_lp__N__C__Matrix_rp.out	2021-09-25 15:35	647
	_normal__Elements_lp__N__C__Ring__Map_cm__Z__Z_rp.out	2021-09-25 15:35	651
	___N__C__Ring__Map_sp_us_sp__Z__Z.out	2021-09-25 15:35	657
	_basis_lp__Z__Z_cm__N__C__Ring_rp.out	2021-09-25 15:35	657
	_is__Homogeneous_lp__N__C__Ring__Map_rp.out	2021-09-25 15:35	670
	_enveloping__Algebra.out	2021-09-25 15:35	678
	___N__C__Matrix_sp_st_sp__Matrix.out	2021-09-25 15:35	681
	_q__Tensor__Product.out	2021-09-25 15:35	704
	___Matrix_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	711
	_normal__Automorphism.out	2021-09-25 15:35	737
	___N__C__Polynomial__Ring_sp_sl_sp__N__C__Ideal.out	2021-09-25 15:35	747
	_basis_lp__Z__Z_cm__N__C__Ideal_rp.out	2021-09-25 15:35	760
	_assign__Degrees.out	2021-09-25 15:35	806
	___N__C__Ring__Map.out	2021-09-25 15:35	822
	_two__Sided__N__C__Groebner__Basis__Bergman.out	2021-09-25 15:35	822
	_resolution_lp__N__C__Matrix_rp.out	2021-09-25 15:35	824
	_skew__Polynomial__Ring.out	2021-09-25 15:35	854
	_normal__Elements.out	2021-09-25 15:35	882
	___N__C__Ring__Element_sp_pc_sp__N__C__Groebner__Basis.out	2021-09-25 15:35	898
	___N__C__Matrix_sp_st_sp__N__C__Matrix.out	2021-09-25 15:35	905
	_skew__Polynomial__Ring_lp__Ring_cm__Ring__Element_cm__List_rp.out	2021-09-25 15:35	921
	_generators_lp__N__C__Groebner__Basis_rp.out	2021-09-25 15:35	936
	_hilbert__Series_lp__N__C__Ring_rp.out	2021-09-25 15:35	1.0K
	_left__Multiplication__Map.out	2021-09-25 15:35	1.0K
	_coordinates.out	2021-09-25 15:35	1.1K
	_is__Homogeneous_lp__N__C__Ideal_rp.out	2021-09-25 15:35	1.2K
	___N__C__Ring.out	2021-09-25 15:35	1.2K
	_normal__Form__Bergman.out	2021-09-25 15:35	1.2K
	___N__C__Matrix_sp^_sp__Z__Z.out	2021-09-25 15:35	1.6K
	___N__C__Groebner__Basis.out	2021-09-25 15:35	1.7K
	_endomorphism__Ring.out	2021-09-25 15:35	1.8K
	_nc__Groebner__Basis.out	2021-09-25 15:35	2.0K
	_right__Kernel.out	2021-09-25 15:35	2.0K
	_right__Kernel__Bergman.out	2021-09-25 15:35	2.0K
	___N__C__Matrix_sp_pc_sp__N__C__Groebner__Basis.out	2021-09-25 15:35	2.1K
	___N__C__Matrix_sp_sl_sl_sp__N__C__Matrix.out	2021-09-25 15:35	2.2K
	___N__C__Matrix_sp_eq_eq_sp__N__C__Matrix.out	2021-09-25 15:35	2.4K
	___N__C__Matrix.out	2021-09-25 15:35	3.0K
	_sparse__Coeffs.out	2021-09-25 15:35	3.1K
	_three__Dim__Sklyanin.out	2021-09-25 15:35	3.1K
	_four__Dim__Sklyanin.out	2021-09-25 15:35	4.3K
	___Basic_spoperations_spon_spnoncommutative_spalgebras.out	2021-09-25 15:35	10K
	___Using_spthe_sp__Bergman_spinterface.out	2021-09-25 15:35	13K
	_minimize__Relations.out	2021-09-25 15:35	49K