Non-compliantly refers to the state of not following rules or regulations. There are several synonyms that can be used to express this concept. One of them is defiantly, which refers to the act of resisting authority or control. Likewise, intransigently refers to the tendency to stick to one's beliefs or ideas without compromise, even when facing opposition or criticism. Another synonym of non-compliantly is unyieldingly, which conveys the idea of being unwavering and uncompromising in one's behavior. Similarly, obdurately refers to the stubborn and unyielding refusal to comply with rules or regulations. All these words can be used interchangeably to express the concept of non-compliance.