I wonder why SageMath cannot compute the intersection of 2 ideals in ZZ. Is this due to the fact that ZZ would "only" be a PID?
Guillermo ┌────────────────────────────────────────────────────────────────────┐ │ SageMath version 10.1, Release Date: 2023-08-20 │ │ Using Python 3.11.1. Type "help()" for help. │ └────────────────────────────────────────────────────────────────────┘ sage: n1,n2=720,756 sage: d,m=gcd(n1,n2),lcm(n1,n2) sage: n1,n2,d,m (720, 756, 36, 15120) sage: I1,I2=ZZ.ideal(n1),ZZ.ideal(n2) sage: I1,I2 (Principal ideal (720) of Integer Ring, Principal ideal (756) of Integer Ring) sage: I1+I2 Principal ideal (36) of Integer Ring sage: I1.intersection(I2) --------------------------------------------------------------------------- AttributeError Traceback (most recent call last) Cell In [7], line 1 ----> 1 I1.intersection(I2) File /private/var/tmp/sage-10.1-current/local/var/lib/sage/venv-python3.11.1/lib/python3.11/site-packages/sage/structure/element.pyx:488, in sage.structure.element.Element.__getattr__ (build/cythonized/sage/structure/element.c:4846)() * 486* AttributeError: 'LeftZeroSemigroup_with_category.element_class' object has no attribute 'blah_blah' * 487* """ --> 488 return self.getattr_from_category(name) * 489* * 490* cdef getattr_from_category(self, name): File /private/var/tmp/sage-10.1-current/local/var/lib/sage/venv-python3.11.1/lib/python3.11/site-packages/sage/structure/element.pyx:501, in sage.structure.element.Element.getattr_from_category (build/cythonized/sage/structure/element.c:4958)() * 499* else: * 500* cls = P._abstract_element_class --> 501 return getattr_from_other_class(self, cls, name) * 502* * 503* def __dir__(self): File /private/var/tmp/sage-10.1-current/local/var/lib/sage/venv-python3.11.1/lib/python3.11/site-packages/sage/cpython/getattr.pyx:362, in sage.cpython.getattr.getattr_from_other_class (build/cythonized/sage/cpython/getattr.c:2773)() * 360* dummy_error_message.cls = type(self) * 361* dummy_error_message.name = name --> 362 raise AttributeError(dummy_error_message) * 363* attribute = <object>attr * 364* # Check for a descriptor (__get__ in Python) AttributeError: 'Ideal_pid' object has no attribute 'intersection' sage: -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CANnG18_BEyzLdcmikDNi8j9%3D%2BYHQLVdpMgaTw6UtWkg%3DoJCUAw%40mail.gmail.com.
